58261 has 12 divisors (see below), whose sum is σ = 71820. Its totient is φ = 47040.

The previous prime is 58243. The next prime is 58271. The reversal of 58261 is 16285.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 14161 + 44100 = 119^2 + 210^2 .

It is not a de Polignac number, because 58261 - 2⁵ = 58229 is a prime.

58261 is a Rhonda number in base 12.

58261 is a modest number, since divided by 261 gives 58 as remainder.

58261 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58211) 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, 1401 + ... + 1441.

It is an arithmetic number, because the mean of its divisors is an integer number (5985).

2⁵⁸²⁶¹ is an apocalyptic number.

It is an amenable number.

58261 is a deficient number, since it is larger than the sum of its proper divisors (13559).

58261 is a wasteful number, since it uses less digits than its factorization.

58261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 77 counting only the distinct ones).

The product of its digits is 480, while the sum is 22.

The square root of 58261 is about 241.3731550939. The cubic root of 58261 is about 38.7667426782.

The spelling of 58261 in words is "fifty-eight thousand, two hundred sixty-one".