312106997 has 2 divisors, whose sum is σ = 312106998. Its totient is φ = 312106996.

The previous prime is 312106967. The next prime is 312106999. The reversal of 312106997 is 799601213.

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., 308142916 + 3964081 = 17554^2 + 1991^2 .

It is an emirp because it is prime and its reverse (799601213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312106997 - 2⁶ = 312106933 is a prime.

Together with 312106999, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 312106997.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312106999) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156053498 + 156053499.

It is an arithmetic number, because the mean of its divisors is an integer number (156053499).

Almost surely, 2^312106997 is an apocalyptic number.

It is an amenable number.

312106997 is a deficient number, since it is larger than the sum of its proper divisors (1).

312106997 is an equidigital number, since it uses as much as digits as its factorization.

312106997 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20412, while the sum is 38.

The square root of 312106997 is about 17666.5502291760. The cubic root of 312106997 is about 678.3198116755.

The spelling of 312106997 in words is "three hundred twelve million, one hundred six thousand, nine hundred ninety-seven".