58201 has 12 divisors (see below), whose sum is σ = 70756. Its totient is φ = 47520.

The previous prime is 58199. The next prime is 58207. The reversal of 58201 is 10285.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 30976 + 27225 = 176^2 + 165^2 .

It is not a de Polignac number, because 58201 - 2¹ = 58199 is a prime.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (58207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1555 + ... + 1591.

2⁵⁸²⁰¹ is an apocalyptic number.

58201 is the 121-st decagonal number.

It is an amenable number.

58201 is a deficient number, since it is larger than the sum of its proper divisors (12555).

58201 is a wasteful number, since it uses less digits than its factorization.

58201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 58201 is about 241.2488341941. The cubic root of 58201 is about 38.7534301507.

Subtracting from 58201 its sum of digits (16), we obtain a palindrome (58185).

Adding to 58201 its reverse (10285), we get a palindrome (68486).

The spelling of 58201 in words is "fifty-eight thousand, two hundred one".