312629949 has 24 divisors (see below), whose sum is σ = 495855360. Its totient is φ = 196157376.

The previous prime is 312629929. The next prime is 312630001. The reversal of 312629949 is 949926213.

It is a happy number.

312629949 is a `hidden beast` number, since 3 + 12 + 629 + 9 + 4 + 9 = 666.

It is not a de Polignac number, because 312629949 - 2⁸ = 312629693 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312629929) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33709 + ... + 41970.

It is an arithmetic number, because the mean of its divisors is an integer number (20660640).

Almost surely, 2^312629949 is an apocalyptic number.

It is an amenable number.

312629949 is a deficient number, since it is larger than the sum of its proper divisors (183225411).

312629949 is an equidigital number, since it uses as much as digits as its factorization.

312629949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75711 (or 75699 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 312629949 is about 17681.3446604041. The cubic root of 312629949 is about 678.6984540081.

The spelling of 312629949 in words is "three hundred twelve million, six hundred twenty-nine thousand, nine hundred forty-nine".