311393 has 2 divisors, whose sum is σ = 311394. Its totient is φ = 311392.

The previous prime is 311371. The next prime is 311407. The reversal of 311393 is 393113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 187489 + 123904 = 433^2 + 352^2 .

It is a cyclic number.

It is not a de Polignac number, because 311393 - 2⁶ = 311329 is a prime.

It is not a weakly prime, because it can be changed into another prime (311303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155696 + 155697.

It is an arithmetic number, because the mean of its divisors is an integer number (155697).

2³¹¹³⁹³ is an apocalyptic number.

It is an amenable number.

311393 is a deficient number, since it is larger than the sum of its proper divisors (1).

311393 is an equidigital number, since it uses as much as digits as its factorization.

311393 is an evil number, because the sum of its binary digits is even.

The product of its digits is 243, while the sum is 20.

The square root of 311393 is about 558.0259850580. The cubic root of 311393 is about 67.7802160031.

The spelling of 311393 in words is "three hundred eleven thousand, three hundred ninety-three".