59913 has 16 divisors (see below), whose sum is σ = 101760. Its totient is φ = 34128.

The previous prime is 59887. The next prime is 59921. The reversal of 59913 is 31995.

It is not a de Polignac number, because 59913 - 2¹⁰ = 58889 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 5³ + 9 + 9³ + 1 + 3¹⁰ .

It is a Curzon number.

59913 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31 + ... + 347.

It is an arithmetic number, because the mean of its divisors is an integer number (6360).

2⁵⁹⁹¹³ is an apocalyptic number.

It is an amenable number.

59913 is a deficient number, since it is larger than the sum of its proper divisors (41847).

59913 is a wasteful number, since it uses less digits than its factorization.

59913 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 327 counting only the distinct ones).

The product of its digits is 1215, while the sum is 27.

The square root of 59913 is about 244.7713218496. The cubic root of 59913 is about 39.1297453985.

The spelling of 59913 in words is "fifty-nine thousand, nine hundred thirteen".