58957 has 8 divisors (see below), whose sum is σ = 64800. Its totient is φ = 53424.

The previous prime is 58943. The next prime is 58963. The reversal of 58957 is 75985.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 58957 - 2¹¹ = 56909 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58907) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 498 + ... + 604.

It is an arithmetic number, because the mean of its divisors is an integer number (8100).

58957 is a Friedman number, since it can be written as 9^5-87-5, using all its digits and the basic arithmetic operations.

2⁵⁸⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

58957 is a deficient number, since it is larger than the sum of its proper divisors (5843).

58957 is a wasteful number, since it uses less digits than its factorization.

58957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155.

The product of its digits is 12600, while the sum is 34.

The square root of 58957 is about 242.8106257971. The cubic root of 58957 is about 38.9205042983.

It can be divided in two parts, 589 and 57, that added together give a palindrome (646).

The spelling of 58957 in words is "fifty-eight thousand, nine hundred fifty-seven".