59413 has 8 divisors (see below), whose sum is σ = 64800. Its totient is φ = 54288.

The previous prime is 59407. The next prime is 59417. The reversal of 59413 is 31495.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 59413 - 2⁹ = 58901 is a prime.

It is a Duffinian number.

59413 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59417) 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 7 ways as a sum of consecutive naturals, for example, 978 + ... + 1036.

It is an arithmetic number, because the mean of its divisors is an integer number (8100).

2⁵⁹⁴¹³ is an apocalyptic number.

59413 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

It is an amenable number.

59413 is a deficient number, since it is larger than the sum of its proper divisors (5387).

59413 is a wasteful number, since it uses less digits than its factorization.

59413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131.

The product of its digits is 540, while the sum is 22.

The square root of 59413 is about 243.7478205031. The cubic root of 59413 is about 39.0205896102.

The spelling of 59413 in words is "fifty-nine thousand, four hundred thirteen".