77812313 has 2 divisors, whose sum is σ = 77812314. Its totient is φ = 77812312.

The previous prime is 77812291. The next prime is 77812331. The reversal of 77812313 is 31321877.

Together with next prime (77812331) 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., 77387209 + 425104 = 8797^2 + 652^2 .

It is an emirp because it is prime and its reverse (31321877) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 77812313 - 2¹⁸ = 77550169 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 77812313.

It is not a weakly prime, because it can be changed into another prime (77812363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38906156 + 38906157.

It is an arithmetic number, because the mean of its divisors is an integer number (38906157).

Almost surely, 2^77812313 is an apocalyptic number.

It is an amenable number.

77812313 is a deficient number, since it is larger than the sum of its proper divisors (1).

77812313 is an equidigital number, since it uses as much as digits as its factorization.

77812313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7056, while the sum is 32.

The square root of 77812313 is about 8821.1287826445. The cubic root of 77812313 is about 426.9228910082.

It can be divided in two parts, 77812 and 313, that added together give a 7-th power (78125 = 5⁷).

The spelling of 77812313 in words is "seventy-seven million, eight hundred twelve thousand, three hundred thirteen".