58122 has 12 divisors (see below), whose sum is σ = 125970. Its totient is φ = 19368.

The previous prime is 58111. The next prime is 58129. The reversal of 58122 is 22185.

It can be written as a sum of positive squares in only one way, i.e., 53361 + 4761 = 231^2 + 69^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 3229 = 58122 / (5 + 8 + 1 + 2 + 2).

It is a plaindrome in base 15.

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 58095 and 58104.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 58122.

It is not an unprimeable number, because it can be changed into a prime (58129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1597 + ... + 1632.

2⁵⁸¹²² is an apocalyptic number.

58122 is an abundant number, since it is smaller than the sum of its proper divisors (67848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

58122 is a wasteful number, since it uses less digits than its factorization.

58122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3237 (or 3234 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 58122 is about 241.0850472344. The cubic root of 58122 is about 38.7358880282.

Subtracting from 58122 its reverse (22185), we obtain a cube (35937 = 33³).

The spelling of 58122 in words is "fifty-eight thousand, one hundred twenty-two".