59045 has 12 divisors (see below), whose sum is σ = 82764. Its totient is φ = 40320.

The previous prime is 59029. The next prime is 59051. The reversal of 59045 is 54095.

It can be written as a sum of positive squares in 2 ways, for example, as 33124 + 25921 = 182^2 + 161^2 .

It is not a de Polignac number, because 59045 - 2⁴ = 59029 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 59045.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125 + ... + 365.

It is an arithmetic number, because the mean of its divisors is an integer number (6897).

59045 is a Friedman number, since it can be written as 9^5-4-5*0, using all its digits and the basic arithmetic operations.

2⁵⁹⁰⁴⁵ is an apocalyptic number.

It is an amenable number.

59045 is a deficient number, since it is larger than the sum of its proper divisors (23719).

59045 is a wasteful number, since it uses less digits than its factorization.

59045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 59045 is about 242.9917694079. The cubic root of 59045 is about 38.9398590920.

Subtracting from 59045 its reverse (54095), we obtain a triangular number (4950 = T₉₉).

The spelling of 59045 in words is "fifty-nine thousand, forty-five".