32682 has 16 divisors (see below), whose sum is σ = 70560. Its totient is φ = 10032.

The previous prime is 32653. The next prime is 32687. The reversal of 32682 is 28623.

32682 = 44² + 45² + ... + 56².

It is a super-2 number, since 2×32682² = 2136226248, which contains 22 as substring.

It is a nialpdrome in base 8.

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 7 ways as a sum of consecutive naturals, for example, 132 + ... + 287.

It is an arithmetic number, because the mean of its divisors is an integer number (4410).

2³²⁶⁸² is an apocalyptic number.

32682 is an abundant number, since it is smaller than the sum of its proper divisors (37878).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35280).

32682 is a wasteful number, since it uses less digits than its factorization.

32682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437.

The product of its digits is 576, while the sum is 21.

The square root of 32682 is about 180.7816362355. The cubic root of 32682 is about 31.9719806817.

The spelling of 32682 in words is "thirty-two thousand, six hundred eighty-two".