53312 has 42 divisors (see below), whose sum is σ = 130302. Its totient is φ = 21504.

The previous prime is 53309. The next prime is 53323. The reversal of 53312 is 21335.

It can be written as a sum of positive squares in only one way, i.e., 50176 + 3136 = 224^2 + 56^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3128 + ... + 3144.

2⁵³³¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65151).

53312 is an abundant number, since it is smaller than the sum of its proper divisors (76990).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53312 is a wasteful number, since it uses less digits than its factorization.

53312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 26 counting only the distinct ones).

The product of its digits is 90, while the sum is 14.

The square root of 53312 is about 230.8939150346. The cubic root of 53312 is about 37.6364216271.

Adding to 53312 its reverse (21335), we get a palindrome (74647).

It can be divided in two parts, 533 and 12, that added together give a palindrome (545).

The spelling of 53312 in words is "fifty-three thousand, three hundred twelve".