59409 has 24 divisors (see below), whose sum is σ = 104832. Its totient is φ = 31680.

The previous prime is 59407. The next prime is 59417. The reversal of 59409 is 90495.

It is a happy number.

It is not a de Polignac number, because 59409 - 2¹ = 59407 is a prime.

It is a Curzon number.

59409 is a lucky number.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 59409.

It is not an unprimeable number, because it can be changed into a prime (59407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1429 + ... + 1469.

It is an arithmetic number, because the mean of its divisors is an integer number (4368).

59409 is a Friedman number, since it can be written as 9^5+90*4, using all its digits and the basic arithmetic operations.

2⁵⁹⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

59409 is a deficient number, since it is larger than the sum of its proper divisors (45423).

59409 is a wasteful number, since it uses less digits than its factorization.

59409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 59409 is about 243.7396151634. The cubic root of 59409 is about 39.0197138991.

The spelling of 59409 in words is "fifty-nine thousand, four hundred nine".