312638693 has 2 divisors, whose sum is σ = 312638694. Its totient is φ = 312638692.

The previous prime is 312638621. The next prime is 312638707. The reversal of 312638693 is 396836213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 208455844 + 104182849 = 14438^2 + 10207^2 .

It is an emirp because it is prime and its reverse (396836213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312638693 - 2¹⁴ = 312622309 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 312638693.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312638593) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156319346 + 156319347.

It is an arithmetic number, because the mean of its divisors is an integer number (156319347).

Almost surely, 2^312638693 is an apocalyptic number.

It is an amenable number.

312638693 is a deficient number, since it is larger than the sum of its proper divisors (1).

312638693 is an equidigital number, since it uses as much as digits as its factorization.

312638693 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 139968, while the sum is 41.

The square root of 312638693 is about 17681.5919249371. The cubic root of 312638693 is about 678.7047814931.

The spelling of 312638693 in words is "three hundred twelve million, six hundred thirty-eight thousand, six hundred ninety-three".