77105313 has 6 divisors (see below), whose sum is σ = 111374354. Its totient is φ = 51403536.

The previous prime is 77105311. The next prime is 77105341. The reversal of 77105313 is 31350177.

It can be written as a sum of positive squares in only one way, i.e., 76160529 + 944784 = 8727^2 + 972^2 .

It is not a de Polignac number, because 77105313 - 2¹ = 77105311 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77105311) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4283620 + ... + 4283637.

Almost surely, 2^77105313 is an apocalyptic number.

It is an amenable number.

77105313 is a deficient number, since it is larger than the sum of its proper divisors (34269041).

77105313 is a wasteful number, since it uses less digits than its factorization.

77105313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8567263 (or 8567260 counting only the distinct ones).

The product of its (nonzero) digits is 2205, while the sum is 27.

The square root of 77105313 is about 8780.9631020749. The cubic root of 77105313 is about 425.6259528270.

The spelling of 77105313 in words is "seventy-seven million, one hundred five thousand, three hundred thirteen".