53625 has 32 divisors (see below), whose sum is σ = 104832. Its totient is φ = 24000.

The previous prime is 53623. The next prime is 53629. The reversal of 53625 is 52635.

It is not a de Polignac number, because 53625 - 2¹ = 53623 is a prime.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 53625.

It is not an unprimeable number, because it can be changed into a prime (53623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4119 + ... + 4131.

It is an arithmetic number, because the mean of its divisors is an integer number (3276).

2⁵³⁶²⁵ is an apocalyptic number.

53625 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

53625 is a deficient number, since it is larger than the sum of its proper divisors (51207).

53625 is a wasteful number, since it uses less digits than its factorization.

53625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 32 counting only the distinct ones).

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

The square root of 53625 is about 231.5707235382. The cubic root of 53625 is about 37.7099336609.

Subtracting from 53625 its product of digits (900), we obtain a palindrome (52725).

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

It can be divided in two parts, 536 and 25, that added together give a triangular number (561 = T₃₃).

The spelling of 53625 in words is "fifty-three thousand, six hundred twenty-five".