312829997 has 2 divisors, whose sum is σ = 312829998. Its totient is φ = 312829996.

The previous prime is 312829963. The next prime is 312829999. The reversal of 312829997 is 799928213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 265233796 + 47596201 = 16286^2 + 6899^2 .

It is a cyclic number.

It is not a de Polignac number, because 312829997 - 2¹⁰ = 312828973 is a prime.

Together with 312829999, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312829999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156414998 + 156414999.

It is an arithmetic number, because the mean of its divisors is an integer number (156414999).

Almost surely, 2^312829997 is an apocalyptic number.

It is an amenable number.

312829997 is a deficient number, since it is larger than the sum of its proper divisors (1).

312829997 is an equidigital number, since it uses as much as digits as its factorization.

312829997 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 489888, while the sum is 50.

The square root of 312829997 is about 17687.0007915418. Note that the first 3 decimals coincide. The cubic root of 312829997 is about 678.8431866965.

The spelling of 312829997 in words is "three hundred twelve million, eight hundred twenty-nine thousand, nine hundred ninety-seven".