51936 has 24 divisors (see below), whose sum is σ = 136584. Its totient is φ = 17280.

The previous prime is 51929. The next prime is 51941. The reversal of 51936 is 63915.

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 inconsummate number, since it does not exist a number n which divided by its sum of digits gives 51936.

It is an unprimeable number.

51936 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 175 + ... + 366.

It is an arithmetic number, because the mean of its divisors is an integer number (5691).

2⁵¹⁹³⁶ is an apocalyptic number.

It is an amenable number.

51936 is an abundant number, since it is smaller than the sum of its proper divisors (84648).

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 (68292).

51936 is a wasteful number, since it uses less digits than its factorization.

51936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 546 counting only the distinct ones).

The product of its digits is 810, while the sum is 24.

The square root of 51936 is about 227.8947125319. The cubic root of 51936 is about 37.3097924154.

It can be divided in two parts, 519 and 36, that added together give a palindrome (555).

The spelling of 51936 in words is "fifty-one thousand, nine hundred thirty-six".