7813397 has 2 divisors, whose sum is σ = 7813398. Its totient is φ = 7813396.

The previous prime is 7813369. The next prime is 7813417. The reversal of 7813397 is 7933187.

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., 7789681 + 23716 = 2791^2 + 154^2 .

It is a cyclic number.

It is not a de Polignac number, because 7813397 - 2²² = 3619093 is a prime.

It is a super-2 number, since 2×7813397² = 122098345359218, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7813397.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7813367) 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, 3906698 + 3906699.

It is an arithmetic number, because the mean of its divisors is an integer number (3906699).

Almost surely, 2^7813397 is an apocalyptic number.

It is an amenable number.

7813397 is a deficient number, since it is larger than the sum of its proper divisors (1).

7813397 is an equidigital number, since it uses as much as digits as its factorization.

7813397 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 31752, while the sum is 38.

The square root of 7813397 is about 2795.2454275072. The cubic root of 7813397 is about 198.4327253320.

The spelling of 7813397 in words is "seven million, eight hundred thirteen thousand, three hundred ninety-seven".