59535 has 36 divisors (see below), whose sum is σ = 124488. Its totient is φ = 27216.

The previous prime is 59513. The next prime is 59539. The reversal of 59535 is 53595.

It is a Cunningham number, because it is equal to 244²-1.

It is not a de Polignac number, because 59535 - 2⁶ = 59471 is a prime.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (3375) is a multiple of the sum of its prime divisors (15).

59535 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 59499 and 59508.

It is a congruent 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 35 ways as a sum of consecutive naturals, for example, 8502 + ... + 8508.

It is an arithmetic number, because the mean of its divisors is an integer number (3458).

2⁵⁹⁵³⁵ is an apocalyptic number.

59535 is an abundant number, since it is smaller than the sum of its proper divisors (64953).

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 (62244).

59535 is an equidigital number, since it uses as much as digits as its factorization.

59535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34 (or 15 counting only the distinct ones).

The product of its digits is 3375, while the sum is 27.

The square root of 59535 is about 243.9979508111. The cubic root of 59535 is about 39.0472799372.

Multiplying 59535 by its product of digits (3375), we get a square (200930625 = 14175²).

It can be divided in two parts, 595 and 35, that added together give a triangular number (630 = T₃₅).

The spelling of 59535 in words is "fifty-nine thousand, five hundred thirty-five".