59055 has 16 divisors (see below), whose sum is σ = 98304. Its totient is φ = 30240.

The previous prime is 59053. The next prime is 59063. The reversal of 59055 is 55095.

It is not a de Polignac number, because 59055 - 2¹ = 59053 is a prime.

59055 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 59055.

It is not an unprimeable number, because it can be changed into a prime (59051) 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, 402 + ... + 528.

It is an arithmetic number, because the mean of its divisors is an integer number (6144).

59055 is a Friedman number, since it can be written as 9^5+5+5^0, using all its digits and the basic arithmetic operations.

2⁵⁹⁰⁵⁵ is an apocalyptic number.

59055 is a deficient number, since it is larger than the sum of its proper divisors (39249).

59055 is a wasteful number, since it uses less digits than its factorization.

59055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166.

The product of its (nonzero) digits is 1125, while the sum is 24.

The square root of 59055 is about 243.0123453654. The cubic root of 59055 is about 38.9420572833.

The spelling of 59055 in words is "fifty-nine thousand, fifty-five".