59562 has 16 divisors (see below), whose sum is σ = 132480. Its totient is φ = 19836.

The previous prime is 59561. The next prime is 59567. The reversal of 59562 is 26595.

59562 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (59561) 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, 498 + ... + 605.

It is an arithmetic number, because the mean of its divisors is an integer number (8280).

2⁵⁹⁵⁶² is an apocalyptic number.

59562 is an abundant number, since it is smaller than the sum of its proper divisors (72918).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66240).

59562 is a wasteful number, since it uses less digits than its factorization.

59562 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1108 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 59562 is about 244.0532728730. The cubic root of 59562 is about 39.0531818841.

The spelling of 59562 in words is "fifty-nine thousand, five hundred sixty-two".