7813361 has 2 divisors, whose sum is σ = 7813362. Its totient is φ = 7813360.

The previous prime is 7813349. The next prime is 7813363. The reversal of 7813361 is 1633187.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6477025 + 1336336 = 2545^2 + 1156^2 .

It is an emirp because it is prime and its reverse (1633187) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 7813361 - 2⁶ = 7813297 is a prime.

It is a super-2 number, since 2×7813361² = 122097220232642, which contains 22 as substring.

Together with 7813363, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (7813363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3906680 + 3906681.

It is an arithmetic number, because the mean of its divisors is an integer number (3906681).

Almost surely, 2^7813361 is an apocalyptic number.

It is an amenable number.

7813361 is a deficient number, since it is larger than the sum of its proper divisors (1).

7813361 is an equidigital number, since it uses as much as digits as its factorization.

7813361 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3024, while the sum is 29.

The square root of 7813361 is about 2795.2389879937. The cubic root of 7813361 is about 198.4324205739.

The spelling of 7813361 in words is "seven million, eight hundred thirteen thousand, three hundred sixty-one".