55974 has 16 divisors (see below), whose sum is σ = 118080. Its totient is φ = 17640.

The previous prime is 55967. The next prime is 55987. The reversal of 55974 is 47955.

55974 = T₁₀₇ + T₁₀₈ + ... + T₁₁₅.

55974 = 45² + 46² + ... + 63².

It is a Curzon number.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

55974 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132 + ... + 359.

It is an arithmetic number, because the mean of its divisors is an integer number (7380).

2⁵⁵⁹⁷⁴ is an apocalyptic number.

55974 is an abundant number, since it is smaller than the sum of its proper divisors (62106).

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 (59040).

55974 is a wasteful number, since it uses less digits than its factorization.

55974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515.

The product of its digits is 6300, while the sum is 30.

The square root of 55974 is about 236.5882499196. The cubic root of 55974 is about 38.2527017614.

The spelling of 55974 in words is "fifty-five thousand, nine hundred seventy-four".