53634 has 16 divisors (see below), whose sum is σ = 122688. Its totient is φ = 15312.

The previous prime is 53633. The next prime is 53639. The reversal of 53634 is 43635.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 53634.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53633) 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, 597 + ... + 680.

It is an arithmetic number, because the mean of its divisors is an integer number (7668).

2⁵³⁶³⁴ is an apocalyptic number.

53634 is an abundant number, since it is smaller than the sum of its proper divisors (69054).

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 (61344).

53634 is a wasteful number, since it uses less digits than its factorization.

53634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289.

The product of its digits is 1080, while the sum is 21.

The square root of 53634 is about 231.5901552312. The cubic root of 53634 is about 37.7120431895.

Subtracting from 53634 its reverse (43635), we obtain a palindrome (9999).

The spelling of 53634 in words is "fifty-three thousand, six hundred thirty-four".