55958 has 12 divisors (see below), whose sum is σ = 97812. Its totient is φ = 23940.

The previous prime is 55949. The next prime is 55967. The reversal of 55958 is 85955.

It is an interprime number because it is at equal distance from previous prime (55949) and next prime (55967).

It is a nialpdrome in base 7 and base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 188 + ... + 383.

It is an arithmetic number, because the mean of its divisors is an integer number (8151).

2⁵⁵⁹⁵⁸ is an apocalyptic number.

55958 is a deficient number, since it is larger than the sum of its proper divisors (41854).

55958 is a wasteful number, since it uses less digits than its factorization.

55958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 580 counting only the distinct ones).

The product of its digits is 9000, while the sum is 32.

The square root of 55958 is about 236.5544334820. The cubic root of 55958 is about 38.2490566074.

The spelling of 55958 in words is "fifty-five thousand, nine hundred fifty-eight".