313253 has 4 divisors (see below), whose sum is σ = 329760. Its totient is φ = 296748.

The previous prime is 313249. The next prime is 313267. The reversal of 313253 is 352313.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 313253 - 2² = 313249 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313253.

It is not an unprimeable number, because it can be changed into a prime (313273) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8225 + ... + 8262.

It is an arithmetic number, because the mean of its divisors is an integer number (82440).

2³¹³²⁵³ is an apocalyptic number.

It is an amenable number.

313253 is a deficient number, since it is larger than the sum of its proper divisors (16507).

313253 is a wasteful number, since it uses less digits than its factorization.

313253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16506.

The product of its digits is 270, while the sum is 17.

The square root of 313253 is about 559.6900928192. The cubic root of 313253 is about 67.9149022003.

Subtracting from 313253 its sum of digits (17), we obtain a triangular number (313236 = T₇₉₁).

Adding to 313253 its reverse (352313), we get a palindrome (665566).

Subtracting 313253 from its reverse (352313), we obtain a triangular number (39060 = T₂₇₉).

The spelling of 313253 in words is "three hundred thirteen thousand, two hundred fifty-three".