51632 has 20 divisors (see below), whose sum is σ = 114576. Its totient is φ = 22080.

The previous prime is 51631. The next prime is 51637. The reversal of 51632 is 23615.

It is a self number, because there is not a number n which added to its sum of digits gives 51632.

It is not an unprimeable number, because it can be changed into a prime (51631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 119 + ... + 342.

2⁵¹⁶³² is an apocalyptic number.

It is an amenable number.

51632 is an abundant number, since it is smaller than the sum of its proper divisors (62944).

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 (57288).

51632 is a wasteful number, since it uses less digits than its factorization.

51632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 470 counting only the distinct ones).

The product of its digits is 180, while the sum is 17.

The square root of 51632 is about 227.2267589876. The cubic root of 51632 is about 37.2368540613.

Subtracting from 51632 its sum of digits (17), we obtain a palindrome (51615).

The spelling of 51632 in words is "fifty-one thousand, six hundred thirty-two".