77705131 has 6 divisors (see below), whose sum is σ = 90391740. Its totient is φ = 66604356.

The previous prime is 77705129. The next prime is 77705141. The reversal of 77705131 is 13150777.

It is not a de Polignac number, because 77705131 - 2¹ = 77705129 is a prime.

It is a super-2 number, since 2×77705131² = 12076174767454322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 77705093 and 77705102.

It is not an unprimeable number, because it can be changed into a prime (77705101) 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, 792861 + ... + 792958.

It is an arithmetic number, because the mean of its divisors is an integer number (15065290).

Almost surely, 2^77705131 is an apocalyptic number.

77705131 is a deficient number, since it is larger than the sum of its proper divisors (12686609).

77705131 is a wasteful number, since it uses less digits than its factorization.

77705131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585833 (or 1585826 counting only the distinct ones).

The product of its (nonzero) digits is 5145, while the sum is 31.

The square root of 77705131 is about 8815.0513895269. The cubic root of 77705131 is about 426.7267803349.

The spelling of 77705131 in words is "seventy-seven million, seven hundred five thousand, one hundred thirty-one".