57959 has 6 divisors (see below), whose sum is σ = 63840. Its totient is φ = 52580.

The previous prime is 57947. The next prime is 57973. The reversal of 57959 is 95975.

57959 = T₄₂ + T₄₃ + ... + T₇₄.

It is not a de Polignac number, because 57959 - 2⁴ = 57943 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57059) 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, 119 + ... + 360.

It is an arithmetic number, because the mean of its divisors is an integer number (10640).

2⁵⁷⁹⁵⁹ is an apocalyptic number.

57959 is a deficient number, since it is larger than the sum of its proper divisors (5881).

57959 is a wasteful number, since it uses less digits than its factorization.

57959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 490 counting only the distinct ones).

The product of its digits is 14175, while the sum is 35.

The square root of 57959 is about 240.7467549106. The cubic root of 57959 is about 38.6996432251.

The spelling of 57959 in words is "fifty-seven thousand, nine hundred fifty-nine".