313122097 has 2 divisors, whose sum is σ = 313122098. Its totient is φ = 313122096.

The previous prime is 313122079. The next prime is 313122107. The reversal of 313122097 is 790221313.

Together with previous prime (313122079) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 248094001 + 65028096 = 15751^2 + 8064^2 .

It is a cyclic number.

It is not a de Polignac number, because 313122097 - 2⁷ = 313121969 is a prime.

It is equal to p_16924114 and since 313122097 and 16924114 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (313122067) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156561048 + 156561049.

It is an arithmetic number, because the mean of its divisors is an integer number (156561049).

Almost surely, 2^313122097 is an apocalyptic number.

It is an amenable number.

313122097 is a deficient number, since it is larger than the sum of its proper divisors (1).

313122097 is an equidigital number, since it uses as much as digits as its factorization.

313122097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 313122097 is about 17695.2563417431. The cubic root of 313122097 is about 679.0544072870.

The spelling of 313122097 in words is "three hundred thirteen million, one hundred twenty-two thousand, ninety-seven".