313679521 has 9 divisors (see below), whose sum is σ = 318845811. Its totient is φ = 308596464.

The previous prime is 313679503. The next prime is 313679549. The reversal of 313679521 is 125976313.

The square root of 313679521 is 17711.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 60233121 + 253446400 = 7761^2 + 15920^2 .

It is not a de Polignac number, because 313679521 - 2¹³ = 313671329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313679501) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1576180 + ... + 1576378.

Almost surely, 2^313679521 is an apocalyptic number.

313679521 is the 17711-st square number.

313679521 is the 8856-th centered octagonal number.

It is an amenable number.

313679521 is a deficient number, since it is larger than the sum of its proper divisors (5166290).

313679521 is an frugal number, since it uses more digits than its factorization.

313679521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 288 counting only the distinct ones).

The product of its digits is 34020, while the sum is 37.

The cubic root of 313679521 is about 679.4571222165.

The spelling of 313679521 in words is "three hundred thirteen million, six hundred seventy-nine thousand, five hundred twenty-one".