59075 has 12 divisors (see below), whose sum is σ = 78120. Its totient is φ = 44160.

The previous prime is 59069. The next prime is 59077. The reversal of 59075 is 57095.

It is not a de Polignac number, because 59075 - 2⁶ = 59011 is a prime.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (59077) 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, 356 + ... + 494.

It is an arithmetic number, because the mean of its divisors is an integer number (6510).

2⁵⁹⁰⁷⁵ is an apocalyptic number.

59075 is a deficient number, since it is larger than the sum of its proper divisors (19045).

59075 is a wasteful number, since it uses less digits than its factorization.

59075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 26.

The square root of 59075 is about 243.0534920547. The cubic root of 59075 is about 38.9464529215.

Subtracting from 59075 its sum of digits (26), we obtain a 10-th power (59049 = 3¹⁰).

The spelling of 59075 in words is "fifty-nine thousand, seventy-five".