312563749 has 2 divisors, whose sum is σ = 312563750. Its totient is φ = 312563748.

The previous prime is 312563633. The next prime is 312563831. The reversal of 312563749 is 947365213.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 290941249 + 21622500 = 17057^2 + 4650^2 .

It is a cyclic number.

It is not a de Polignac number, because 312563749 - 2⁷ = 312563621 is a prime.

It is equal to p_16895560 and since 312563749 and 16895560 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 (312560749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156281874 + 156281875.

It is an arithmetic number, because the mean of its divisors is an integer number (156281875).

Almost surely, 2^312563749 is an apocalyptic number.

It is an amenable number.

312563749 is a deficient number, since it is larger than the sum of its proper divisors (1).

312563749 is an equidigital number, since it uses as much as digits as its factorization.

312563749 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 136080, while the sum is 40.

The square root of 312563749 is about 17679.4725317245. The cubic root of 312563749 is about 678.6505453870.

The spelling of 312563749 in words is "three hundred twelve million, five hundred sixty-three thousand, seven hundred forty-nine".