77161617 has 12 divisors (see below), whose sum is σ = 120029364. Its totient is φ = 47484000.

The previous prime is 77161597. The next prime is 77161621. The reversal of 77161617 is 71616177.

It can be written as a sum of positive squares in 2 ways, for example, as 14814801 + 62346816 = 3849^2 + 7896^2 .

It is not a de Polignac number, because 77161617 - 2⁸ = 77161361 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (77161627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 329634 + ... + 329867.

It is an arithmetic number, because the mean of its divisors is an integer number (10002447).

Almost surely, 2^77161617 is an apocalyptic number.

It is an amenable number.

77161617 is a deficient number, since it is larger than the sum of its proper divisors (42867747).

77161617 is a wasteful number, since it uses less digits than its factorization.

77161617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659520 (or 659517 counting only the distinct ones).

The product of its digits is 12348, while the sum is 36.

The square root of 77161617 is about 8784.1685434650. The cubic root of 77161617 is about 425.7295281059.

The spelling of 77161617 in words is "seventy-seven million, one hundred sixty-one thousand, six hundred seventeen".