55965 has 32 divisors (see below), whose sum is σ = 112896. Its totient is φ = 23040.

The previous prime is 55949. The next prime is 55967. The reversal of 55965 is 56955.

55965 = 15² + 16² + ... + 55².

It is a happy number.

It is not a de Polignac number, because 55965 - 2⁴ = 55949 is a prime.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1345 + ... + 1385.

It is an arithmetic number, because the mean of its divisors is an integer number (3528).

2⁵⁵⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

55965 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 (56448).

55965 is a wasteful number, since it uses less digits than its factorization.

55965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69.

The product of its digits is 6750, while the sum is 30.

The square root of 55965 is about 236.5692287682. The cubic root of 55965 is about 38.2506514477.

Subtracting 55965 from its reverse (56955), we obtain a triangular number (990 = T₄₄).

The spelling of 55965 in words is "fifty-five thousand, nine hundred sixty-five".