55764 has 18 divisors (see below), whose sum is σ = 141050. Its totient is φ = 18576.

The previous prime is 55763. The next prime is 55787. The reversal of 55764 is 46755.

It can be written as a sum of positive squares in only one way, i.e., 44100 + 11664 = 210^2 + 108^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a nialpdrome in base 3 and base 9.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55763) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 739 + ... + 810.

2⁵⁵⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

55764 is an abundant number, since it is smaller than the sum of its proper divisors (85286).

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

55764 is a wasteful number, since it uses less digits than its factorization.

55764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559 (or 1554 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 55764 is about 236.1440238499. The cubic root of 55764 is about 38.2048037233.

Subtracting from 55764 its reverse (46755), we obtain a palindrome (9009).

The spelling of 55764 in words is "fifty-five thousand, seven hundred sixty-four".