313042249 has 9 divisors (see below), whose sum is σ = 339223989. Its totient is φ = 288749760.

The previous prime is 313042243. The next prime is 313042253. The reversal of 313042249 is 942240313.

The square root of 313042249 is 17693.

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

It can be written as a sum of positive squares in 4 ways, for example, as 145805625 + 167236624 = 12075^2 + 12932^2 .

It is not a de Polignac number, because 313042249 - 2¹⁷ = 312911177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313042243) 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, 229329 + ... + 230689.

Almost surely, 2^313042249 is an apocalyptic number.

313042249 is the 17693-rd square number.

313042249 is the 8847-th centered octagonal number.

It is an amenable number.

313042249 is a deficient number, since it is larger than the sum of its proper divisors (26181740).

313042249 is an frugal number, since it uses more digits than its factorization.

313042249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2748 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The cubic root of 313042249 is about 678.9966814069.

Multiplying 313042249 by its product of nonzero digits (5184), we get a square (1622811018816 = 1273896²).

The spelling of 313042249 in words is "three hundred thirteen million, forty-two thousand, two hundred forty-nine".