51933 has 8 divisors (see below), whose sum is σ = 79168. Its totient is φ = 29664.

The previous prime is 51929. The next prime is 51941. The reversal of 51933 is 33915.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 51933 - 2² = 51929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 2473 = 51933 / (5 + 1 + 9 + 3 + 3).

It is a Duffinian number.

It is a Curzon number.

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 51933.

It is not an unprimeable number, because it can be changed into a prime (51913) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1216 + ... + 1257.

It is an arithmetic number, because the mean of its divisors is an integer number (9896).

2⁵¹⁹³³ is an apocalyptic number.

It is an amenable number.

51933 is a deficient number, since it is larger than the sum of its proper divisors (27235).

51933 is a wasteful number, since it uses less digits than its factorization.

51933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2483.

The product of its digits is 405, while the sum is 21.

The square root of 51933 is about 227.8881304500. Note that the first 3 decimals coincide. The cubic root of 51933 is about 37.3090740214.

The spelling of 51933 in words is "fifty-one thousand, nine hundred thirty-three".