313852 has 24 divisors (see below), whose sum is σ = 685440. Its totient is φ = 122160.

The previous prime is 313849. The next prime is 313853. The reversal of 313852 is 258313.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 202 + ... + 817.

It is an arithmetic number, because the mean of its divisors is an integer number (28560).

2³¹³⁸⁵² is an apocalyptic number.

It is an amenable number.

313852 is an abundant number, since it is smaller than the sum of its proper divisors (371588).

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

313852 is a wasteful number, since it uses less digits than its factorization.

313852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1039 counting only the distinct ones).

The product of its digits is 720, while the sum is 22.

The square root of 313852 is about 560.2249548173. The cubic root of 313852 is about 67.9581634236.

It can be divided in two parts, 31 and 3852, that added together give a palindrome (3883).

The spelling of 313852 in words is "three hundred thirteen thousand, eight hundred fifty-two".