313672 has 8 divisors (see below), whose sum is σ = 588150. Its totient is φ = 156832.

The previous prime is 313669. The next prime is 313679. The reversal of 313672 is 276313.

It can be written as a sum of positive squares in only one way, i.e., 188356 + 125316 = 434^2 + 354^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313672.

It is not an unprimeable number, because it can be changed into a prime (313679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19597 + ... + 19612.

2³¹³⁶⁷² is an apocalyptic number.

It is an amenable number.

313672 is a deficient number, since it is larger than the sum of its proper divisors (274478).

313672 is a wasteful number, since it uses less digits than its factorization.

313672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39215 (or 39211 counting only the distinct ones).

The product of its digits is 756, while the sum is 22.

The square root of 313672 is about 560.0642820248. The cubic root of 313672 is about 67.9451691793.

Adding to 313672 its reverse (276313), we get a palindrome (589985).

The spelling of 313672 in words is "three hundred thirteen thousand, six hundred seventy-two".