53955 has 24 divisors (see below), whose sum is σ = 102960. Its totient is φ = 25920.

The previous prime is 53951. The next prime is 53959. The reversal of 53955 is 55935.

53955 = 1² + 2² + ... + 54².

53955 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (53951) and next prime (53959).

It is not a de Polignac number, because 53955 - 2² = 53951 is a prime.

It is a super-2 number, since 2×53955² = 5822284050, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 53955.

It is not an unprimeable number, because it can be changed into a prime (53951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 441 + ... + 549.

It is an arithmetic number, because the mean of its divisors is an integer number (4290).

2⁵³⁹⁵⁵ is an apocalyptic number.

53955 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

53955 is a deficient number, since it is larger than the sum of its proper divisors (49005).

53955 is a wasteful number, since it uses less digits than its factorization.

53955 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 128 counting only the distinct ones).

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

The square root of 53955 is about 232.2821560086. The cubic root of 53955 is about 37.7871292369.

The spelling of 53955 in words is "fifty-three thousand, nine hundred fifty-five".