32856 has 24 divisors (see below), whose sum is σ = 84420. Its totient is φ = 10656.

The previous prime is 32843. The next prime is 32869. The reversal of 32856 is 65823.

It is an interprime number because it is at equal distance from previous prime (32843) and next prime (32869).

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 870 + ... + 906.

2³²⁸⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42210).

32856 is an abundant number, since it is smaller than the sum of its proper divisors (51564).

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

32856 is a wasteful number, since it uses less digits than its factorization.

32856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 42 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 32856 is about 181.2622409660. The cubic root of 32856 is about 32.0286202283.

Multiplying 32856 by its sum of digits (24), we get a square (788544 = 888²).

32856 divided by its sum of digits (24) gives a square (1369 = 37²).

It can be divided in two parts, 32 and 856, that added together give a palindrome (888).

The spelling of 32856 in words is "thirty-two thousand, eight hundred fifty-six".