55952 has 20 divisors (see below), whose sum is σ = 117180. Its totient is φ = 25728.

The previous prime is 55949. The next prime is 55967. The reversal of 55952 is 25955.

It can be written as a sum of positive squares in 2 ways, for example, as 5776 + 50176 = 76^2 + 224^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a nialpdrome in base 16.

It is an unprimeable 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, 74 + ... + 342.

It is an arithmetic number, because the mean of its divisors is an integer number (5859).

2⁵⁵⁹⁵² is an apocalyptic number.

55952 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58590).

55952 is an abundant number, since it is smaller than the sum of its proper divisors (61228).

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

55952 is a wasteful number, since it uses less digits than its factorization.

55952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 284 counting only the distinct ones).

The product of its digits is 2250, while the sum is 26.

The square root of 55952 is about 236.5417510716. The cubic root of 55952 is about 38.2476894955.

The spelling of 55952 in words is "fifty-five thousand, nine hundred fifty-two".