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51564 = 2234297

51564 has 12 divisors (see below), whose sum is σ = 120344. Its totient is φ = 17184.

The previous prime is 51563. The next prime is 51577. The reversal of 51564 is 46515.

It is a happy number.

51564 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 51564.

It is not an unprimeable number, because it can be changed into a prime (51563) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2137 + ... + 2160.

251564 is an apocalyptic number.

It is an amenable number.

51564 is an abundant number, since it is smaller than the sum of its proper divisors (68780).

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 (60172).

51564 is a wasteful number, since it uses less digits than its factorization.

51564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4304 (or 4302 counting only the distinct ones).

The product of its digits is 600, while the sum is 21.

The square root of 51564 is about 227.0770794246. The cubic root of 51564 is about 37.2204997429.

The spelling of 51564 in words is "fifty-one thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 12 4297 8594 12891 17188 25782 51564