53632 has 16 divisors (see below), whose sum is σ = 107100. Its totient is φ = 26752.

The previous prime is 53629. The next prime is 53633. The reversal of 53632 is 23635.

It is a tau number, because it is divible by the number of its divisors (16).

It is a plaindrome in base 14.

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 pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82 + ... + 337.

2⁵³⁶³² is an apocalyptic number.

It is an amenable number.

53632 is a deficient number, since it is larger than the sum of its proper divisors (53468).

53632 is an equidigital number, since it uses as much as digits as its factorization.

53632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 421 counting only the distinct ones).

The product of its digits is 540, while the sum is 19.

The square root of 53632 is about 231.5858372181. The cubic root of 53632 is about 37.7115744258.

The spelling of 53632 in words is "fifty-three thousand, six hundred thirty-two".