55765 has 8 divisors (see below), whose sum is σ = 70560. Its totient is φ = 42192.

The previous prime is 55763. The next prime is 55787. The reversal of 55765 is 56755.

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

It is a cyclic number.

It is not a de Polignac number, because 55765 - 2¹ = 55763 is a prime.

55765 is a lucky number.

It is a nialpdrome in base 9.

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 7 ways as a sum of consecutive naturals, for example, 199 + ... + 388.

It is an arithmetic number, because the mean of its divisors is an integer number (8820).

2⁵⁵⁷⁶⁵ is an apocalyptic number.

It is an amenable number.

55765 is a deficient number, since it is larger than the sum of its proper divisors (14795).

55765 is a wasteful number, since it uses less digits than its factorization.

55765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611.

The product of its digits is 5250, while the sum is 28.

The square root of 55765 is about 236.1461411923. The cubic root of 55765 is about 38.2050320939.

Subtracting 55765 from its reverse (56755), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 55 and 765, that added together give a triangular number (820 = T₄₀).

The spelling of 55765 in words is "fifty-five thousand, seven hundred sixty-five".