55953 has 6 divisors (see below), whose sum is σ = 80834. Its totient is φ = 37296.

The previous prime is 55949. The next prime is 55967. The reversal of 55953 is 35955.

55953 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 51984 + 3969 = 228^2 + 63^2 .

It is not a de Polignac number, because 55953 - 2² = 55949 is a prime.

It is a Duffinian number.

55953 is a lucky number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (55903) 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, 3100 + ... + 3117.

2⁵⁵⁹⁵³ is an apocalyptic number.

It is an amenable number.

55953 is a deficient number, since it is larger than the sum of its proper divisors (24881).

55953 is a wasteful number, since it uses less digits than its factorization.

55953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6223 (or 6220 counting only the distinct ones).

The product of its digits is 3375, while the sum is 27.

The square root of 55953 is about 236.5438648539. The cubic root of 55953 is about 38.2479173542.

The spelling of 55953 in words is "fifty-five thousand, nine hundred fifty-three".