58973 has 4 divisors (see below), whose sum is σ = 62460. Its totient is φ = 55488.

The previous prime is 58967. The next prime is 58979. The reversal of 58973 is 37985.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (58967) and next prime (58979).

It can be written as a sum of positive squares in 2 ways, for example, as 20164 + 38809 = 142^2 + 197^2 .

It is not a de Polignac number, because 58973 - 2⁶ = 58909 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58979) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1718 + ... + 1751.

It is an arithmetic number, because the mean of its divisors is an integer number (15615).

58973 is a Friedman number, since it can be written as 9^5-83+7, using all its digits and the basic arithmetic operations.

2⁵⁸⁹⁷³ is an apocalyptic number.

It is an amenable number.

58973 is a deficient number, since it is larger than the sum of its proper divisors (3487).

58973 is a wasteful number, since it uses less digits than its factorization.

58973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3486.

The product of its digits is 7560, while the sum is 32.

The square root of 58973 is about 242.8435710493. The cubic root of 58973 is about 38.9240247835.

The spelling of 58973 in words is "fifty-eight thousand, nine hundred seventy-three".