59109 has 16 divisors (see below), whose sum is σ = 89280. Its totient is φ = 34560.

The previous prime is 59107. The next prime is 59113. The reversal of 59109 is 90195.

59109 = 77² + 78² + ... + 85².

It is a happy number.

It is not a de Polignac number, because 59109 - 2¹ = 59107 is a prime.

It is a Curzon 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 59109.

It is not an unprimeable number, because it can be changed into a prime (59107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 939 + ... + 999.

It is an arithmetic number, because the mean of its divisors is an integer number (5580).

2⁵⁹¹⁰⁹ is an apocalyptic number.

It is an amenable number.

59109 is a deficient number, since it is larger than the sum of its proper divisors (30171).

59109 is a wasteful number, since it uses less digits than its factorization.

59109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100.

The product of its (nonzero) digits is 405, while the sum is 24.

The square root of 59109 is about 243.1234254448. The cubic root of 59109 is about 38.9539232301.

The spelling of 59109 in words is "fifty-nine thousand, one hundred nine".