77086971 has 40 divisors (see below), whose sum is σ = 130573520. Its totient is φ = 44929728.

The previous prime is 77086969. The next prime is 77086979. The reversal of 77086971 is 17968077.

It is a happy number.

It is not a de Polignac number, because 77086971 - 2¹ = 77086969 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77086979) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18081 + ... + 21933.

It is an arithmetic number, because the mean of its divisors is an integer number (3264338).

Almost surely, 2^77086971 is an apocalyptic number.

77086971 is a deficient number, since it is larger than the sum of its proper divisors (53486549).

77086971 is a wasteful number, since it uses less digits than its factorization.

77086971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3897 (or 3888 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The square root of 77086971 is about 8779.9186214907. The cubic root of 77086971 is about 425.5922005038.

The spelling of 77086971 in words is "seventy-seven million, eighty-six thousand, nine hundred seventy-one".