312829969 has 9 divisors (see below), whose sum is σ = 327448443. Its totient is φ = 298839552.

The previous prime is 312829963. The next prime is 312829997. The reversal of 312829969 is 969928213.

The square root of 312829969 is 17687.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 122389969 + 190440000 = 11063^2 + 13800^2 .

It is not a de Polignac number, because 312829969 - 2⁹ = 312829457 is a prime.

It is a super-2 number, since 2×312829969² = 195725179009081922, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312829963) 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 in 8 ways as a sum of consecutive naturals, for example, 406417 + ... + 407185.

Almost surely, 2^312829969 is an apocalyptic number.

312829969 is the 17687-th square number.

312829969 is the 8844-th centered octagonal number.

It is an amenable number.

312829969 is a deficient number, since it is larger than the sum of its proper divisors (14618474).

312829969 is an frugal number, since it uses more digits than its factorization.

312829969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 792 counting only the distinct ones).

The product of its digits is 419904, while the sum is 49.

The cubic root of 312829969 is about 678.8431664431.

Multiplying 312829969 by its sum of digits (49), we get a square (15328668481 = 123809²).

Multiplying 312829969 by its product of digits (419904), we get a square (131358555302976 = 11461176²).

The spelling of 312829969 in words is "three hundred twelve million, eight hundred twenty-nine thousand, nine hundred sixty-nine".