59361 has 8 divisors (see below), whose sum is σ = 81024. Its totient is φ = 38640.

The previous prime is 59359. The next prime is 59369. The reversal of 59361 is 16395.

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

It is not a de Polignac number, because 59361 - 2¹ = 59359 is a prime.

It is not an unprimeable number, because it can be changed into a prime (59369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70 + ... + 351.

It is an arithmetic number, because the mean of its divisors is an integer number (10128).

2⁵⁹³⁶¹ is an apocalyptic number.

59361 is the 141-st octagonal number.

It is an amenable number.

59361 is a deficient number, since it is larger than the sum of its proper divisors (21663).

59361 is a wasteful number, since it uses less digits than its factorization.

59361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471.

The product of its digits is 810, while the sum is 24.

The square root of 59361 is about 243.6411295328. The cubic root of 59361 is about 39.0092022992.

The spelling of 59361 in words is "fifty-nine thousand, three hundred sixty-one".