313753 has 6 divisors (see below), whose sum is σ = 345002. Its totient is φ = 285120.

The previous prime is 313741. The next prime is 313763. The reversal of 313753 is 357313.

It can be written as a sum of positive squares in only one way, i.e., 278784 + 34969 = 528^2 + 187^2 .

It is not a de Polignac number, because 313753 - 2⁵ = 313721 is a prime.

It is a Duffinian number.

313753 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (313763) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1176 + ... + 1417.

2³¹³⁷⁵³ is an apocalyptic number.

It is an amenable number.

313753 is a deficient number, since it is larger than the sum of its proper divisors (31249).

313753 is a wasteful number, since it uses less digits than its factorization.

313753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2615 (or 2604 counting only the distinct ones).

The product of its digits is 945, while the sum is 22.

The square root of 313753 is about 560.1365904849. The cubic root of 313753 is about 67.9510172043.

The spelling of 313753 in words is "three hundred thirteen thousand, seven hundred fifty-three".