51700 has 36 divisors (see below), whose sum is σ = 124992. Its totient is φ = 18400.

The previous prime is 51691. The next prime is 51713. The reversal of 51700 is 715.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1077 + ... + 1123.

It is an arithmetic number, because the mean of its divisors is an integer number (3472).

2⁵¹⁷⁰⁰ is an apocalyptic number.

51700 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62496).

51700 is an abundant number, since it is smaller than the sum of its proper divisors (73292).

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

51700 is a wasteful number, since it uses less digits than its factorization.

51700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 35, while the sum is 13.

The square root of 51700 is about 227.3763400180. The cubic root of 51700 is about 37.2531940267.

The spelling of 51700 in words is "fifty-one thousand, seven hundred".