52635 has 24 divisors (see below), whose sum is σ = 95760. Its totient is φ = 24640.

The previous prime is 52631. The next prime is 52639. The reversal of 52635 is 53625.

52635 = 38² + 39² + ... + 59².

It is an interprime number because it is at equal distance from previous prime (52631) and next prime (52639).

It is not a de Polignac number, because 52635 - 2² = 52631 is a prime.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

52635 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (52631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1801 + ... + 1829.

It is an arithmetic number, because the mean of its divisors is an integer number (3990).

2⁵²⁶³⁵ is an apocalyptic number.

52635 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

52635 is a deficient number, since it is larger than the sum of its proper divisors (43125).

52635 is a wasteful number, since it uses less digits than its factorization.

52635 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 48 counting only the distinct ones).

The product of its digits is 900, while the sum is 21.

The square root of 52635 is about 229.4231897608. The cubic root of 52635 is about 37.4764296326.

Adding to 52635 its product of digits (900), we get a palindrome (53535).

Subtracting 52635 from its reverse (53625), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 526 and 35, that added together give a triangular number (561 = T₃₃).

The spelling of 52635 in words is "fifty-two thousand, six hundred thirty-five".