311253 has 12 divisors (see below), whose sum is σ = 442080. Its totient is φ = 194752.

The previous prime is 311237. The next prime is 311279. The reversal of 311253 is 352113.

It is a happy number.

It is not a de Polignac number, because 311253 - 2⁴ = 311237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 688 + ... + 1046.

It is an arithmetic number, because the mean of its divisors is an integer number (36840).

2³¹¹²⁵³ is an apocalyptic number.

It is an amenable number.

311253 is a deficient number, since it is larger than the sum of its proper divisors (130827).

311253 is a wasteful number, since it uses less digits than its factorization.

311253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 379 counting only the distinct ones).

The product of its digits is 90, while the sum is 15.

The square root of 311253 is about 557.9005287683. The cubic root of 311253 is about 67.7700566518.

Adding to 311253 its reverse (352113), we get a palindrome (663366).

The spelling of 311253 in words is "three hundred eleven thousand, two hundred fifty-three".