59536 has 15 divisors (see below), whose sum is σ = 117273. Its totient is φ = 29280.

The previous prime is 59513. The next prime is 59539. The reversal of 59536 is 63595.

59536 = T₂₄₃ + T₂₄₄.

It is a happy number.

The square root of 59536 is 244.

It is a perfect power (a square), and thus also a powerful number.

59536 is nontrivially palindromic in base 3 and base 11.

It can be written as a sum of positive squares in only one way, i.e., 1936 + 57600 = 44^2 + 240^2 .

It is an Ulam number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (59539) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 946 + ... + 1006.

2⁵⁹⁵³⁶ is an apocalyptic number.

59536 is the 244-th square number.

It is an amenable number.

59536 is a deficient number, since it is larger than the sum of its proper divisors (57737).

59536 is an equidigital number, since it uses as much as digits as its factorization.

59536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 63 counting only the distinct ones).

The product of its digits is 4050, while the sum is 28.

The cubic root of 59536 is about 39.0474985596.

It can be divided in two parts, 59 and 536, that added together give a palindrome (595).

The spelling of 59536 in words is "fifty-nine thousand, five hundred thirty-six".