312417729 has 20 divisors (see below), whose sum is σ = 502599636. Its totient is φ = 192256416.

The previous prime is 312417719. The next prime is 312417737. The reversal of 312417729 is 927714213.

It can be written as a sum of positive squares in 2 ways, for example, as 20007729 + 292410000 = 4473^2 + 17100^2 .

It is not a de Polignac number, because 312417729 - 2¹⁶ = 312352193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312417693 and 312417702.

It is not an unprimeable number, because it can be changed into a prime (312417719) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 147294 + ... + 149399.

Almost surely, 2^312417729 is an apocalyptic number.

312417729 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

312417729 is a deficient number, since it is larger than the sum of its proper divisors (190181907).

312417729 is a wasteful number, since it uses less digits than its factorization.

312417729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296718 (or 296709 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 312417729 is about 17675.3424012097. The cubic root of 312417729 is about 678.5448474949.

The spelling of 312417729 in words is "three hundred twelve million, four hundred seventeen thousand, seven hundred twenty-nine".