59115 has 16 divisors (see below), whose sum is σ = 108288. Its totient is φ = 26976.

The previous prime is 59113. The next prime is 59119. The reversal of 59115 is 51195.

It is a happy number.

It is not a de Polignac number, because 59115 - 2¹ = 59113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 59091 and 59100.

It is not an unprimeable number, because it can be changed into a prime (59113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177 + ... + 386.

It is an arithmetic number, because the mean of its divisors is an integer number (6768).

2⁵⁹¹¹⁵ is an apocalyptic number.

59115 is a deficient number, since it is larger than the sum of its proper divisors (49173).

59115 is a wasteful number, since it uses less digits than its factorization.

59115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578.

The product of its digits is 225, while the sum is 21.

The square root of 59115 is about 243.1357645432. The cubic root of 59115 is about 38.9552412224.

Adding to 59115 its product of digits (225), we get a triangular number (59340 = T₃₄₄).

It can be divided in two parts, 591 and 15, that added together give a palindrome (606).

The spelling of 59115 in words is "fifty-nine thousand, one hundred fifteen".