313981933 has 2 divisors, whose sum is σ = 313981934. Its totient is φ = 313981932.

The previous prime is 313981903. The next prime is 313981937. The reversal of 313981933 is 339189313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 207417604 + 106564329 = 14402^2 + 10323^2 .

It is an emirp because it is prime and its reverse (339189313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 313981933 - 2¹³ = 313973741 is a prime.

It is equal to p_16968037 and since 313981933 and 16968037 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313981937) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156990966 + 156990967.

It is an arithmetic number, because the mean of its divisors is an integer number (156990967).

Almost surely, 2^313981933 is an apocalyptic number.

It is an amenable number.

313981933 is a deficient number, since it is larger than the sum of its proper divisors (1).

313981933 is an equidigital number, since it uses as much as digits as its factorization.

313981933 is an evil number, because the sum of its binary digits is even.

The product of its digits is 52488, while the sum is 40.

The square root of 313981933 is about 17719.5353494385. The cubic root of 313981933 is about 679.6754023157.

The spelling of 313981933 in words is "three hundred thirteen million, nine hundred eighty-one thousand, nine hundred thirty-three".