32912 has 30 divisors (see below), whose sum is σ = 74214. Its totient is φ = 14080.

The previous prime is 32911. The next prime is 32917. The reversal of 32912 is 21923.

It can be written as a sum of positive squares in only one way, i.e., 30976 + 1936 = 176^2 + 44^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32912.

It is not an unprimeable number, because it can be changed into a prime (32911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1928 + ... + 1944.

2³²⁹¹² 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 32912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37107).

32912 is an abundant number, since it is smaller than the sum of its proper divisors (41302).

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

32912 is a wasteful number, since it uses less digits than its factorization.

32912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 30 counting only the distinct ones).

The product of its digits is 108, while the sum is 17.

The square root of 32912 is about 181.4166475272. The cubic root of 32912 is about 32.0468065026.

Multiplying 32912 by its sum of digits (17), we get a square (559504 = 748²).

32912 divided by its sum of digits (17) gives a square (1936 = 44²).

The spelling of 32912 in words is "thirty-two thousand, nine hundred twelve".