51712 has 20 divisors (see below), whose sum is σ = 104346. Its totient is φ = 25600.

The previous prime is 51691. The next prime is 51713. The reversal of 51712 is 21715.

It can be written as a sum of positive squares in only one way, i.e., 30976 + 20736 = 176^2 + 144^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (51713) by changing a digit.

51712 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 462 + ... + 562.

2⁵¹⁷¹² 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 51712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52173).

51712 is an abundant number, since it is smaller than the sum of its proper divisors (52634).

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

51712 is an equidigital number, since it uses as much as digits as its factorization.

51712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 103 counting only the distinct ones).

The product of its digits is 70, while the sum is 16.

The square root of 51712 is about 227.4027264568. The cubic root of 51712 is about 37.2560760624.

It can be divided in two parts, 517 and 12, that added together give a square (529 = 23²).

The spelling of 51712 in words is "fifty-one thousand, seven hundred twelve".