51762 has 8 divisors (see below), whose sum is σ = 103536. Its totient is φ = 17252.

The previous prime is 51749. The next prime is 51767. The reversal of 51762 is 26715.

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

51762 is an admirable number.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 51762.

It is not an unprimeable number, because it can be changed into a prime (51767) by changing a digit.

51762 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, 4308 + ... + 4319.

It is an arithmetic number, because the mean of its divisors is an integer number (12942).

2⁵¹⁷⁶² is an apocalyptic number.

51762 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (51768).

51762 is a wasteful number, since it uses less digits than its factorization.

51762 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8632.

The product of its digits is 420, while the sum is 21.

The square root of 51762 is about 227.5126370117. The cubic root of 51762 is about 37.2680797479.

The spelling of 51762 in words is "fifty-one thousand, seven hundred sixty-two".