32681 has 4 divisors (see below), whose sum is σ = 35664. Its totient is φ = 29700.

The previous prime is 32653. The next prime is 32687. The reversal of 32681 is 18623.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 18623 = 11 ⋅1693.

It is not a de Polignac number, because 32681 - 2¹⁰ = 31657 is a prime.

It is a super-2 number, since 2×32681² = 2136095522, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 8.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32681.

It is not an unprimeable number, because it can be changed into a prime (32687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1475 + ... + 1496.

It is an arithmetic number, because the mean of its divisors is an integer number (8916).

2³²⁶⁸¹ is an apocalyptic number.

It is an amenable number.

32681 is a deficient number, since it is larger than the sum of its proper divisors (2983).

32681 is a wasteful number, since it uses less digits than its factorization.

32681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2982.

The product of its digits is 288, while the sum is 20.

The square root of 32681 is about 180.7788704467. The cubic root of 32681 is about 31.9716545867.

The spelling of 32681 in words is "thirty-two thousand, six hundred eighty-one".