32011 has 8 divisors (see below), whose sum is σ = 38880. Its totient is φ = 25728.

The previous prime is 32009. The next prime is 32027. The reversal of 32011 is 11023.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 32011 - 2^{1} = 32009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a Duffinian number.

32011 is a lucky number.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 31985 and 32003.

It is not an unprimeable number, because it can be changed into a prime (32051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16 + ... + 253.

It is an arithmetic number, because the mean of its divisors is an integer number (4860).

2^{32011} is an apocalyptic number.

32011 is a deficient number, since it is larger than the sum of its proper divisors (6869).

32011 is a wasteful number, since it uses less digits than its factorization.

32011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293.

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 32011 is about 178.9161814929. The cubic root of 32011 is about 31.7516584167.

Adding to 32011 its reverse (11023), we get a palindrome (43034).

The spelling of 32011 in words is "thirty-two thousand, eleven".

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