313632 has 90 divisors (see below), whose sum is σ = 1013859. Its totient is φ = 95040.

The previous prime is 313619. The next prime is 313637. The reversal of 313632 is 236313.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

313632 is a `hidden beast` number, since 31 + 3 + 632 = 666.

It can be written as a sum of positive squares in only one way, i.e., 156816 + 156816 = 396^2 + 396^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=396.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313632.

It is not an unprimeable number, because it can be changed into a prime (313637) by changing a digit.

313632 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 28507 + ... + 28517.

2³¹³⁶³² is an apocalyptic number.

313632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313632

313632 is an abundant number, since it is smaller than the sum of its proper divisors (700227).

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

313632 is a wasteful number, since it uses less digits than its factorization.

313632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 16 counting only the distinct ones).

The product of its digits is 324, while the sum is 18.

The square root of 313632 is about 560.0285706997. The cubic root of 313632 is about 67.9422808944.

Multiplying 313632 by its sum of digits (18), we get a square (5645376 = 2376²).

313632 divided by its sum of digits (18) gives a square (17424 = 132²).

Adding to 313632 its reverse (236313), we get a palindrome (549945).

It can be divided in two parts, 31363 and 2, that multiplied together give a palindrome (62726).

The spelling of 313632 in words is "three hundred thirteen thousand, six hundred thirty-two".