77117138 has 16 divisors (see below), whose sum is σ = 132943680. Its totient is φ = 32864496.

The previous prime is 77117129. The next prime is 77117141. The reversal of 77117138 is 83171177.

It is a super-2 number, since 2×77117138² = 11894105946622088, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 77117098 and 77117107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12881 + ... + 17892.

It is an arithmetic number, because the mean of its divisors is an integer number (8308980).

Almost surely, 2^77117138 is an apocalyptic number.

77117138 is a deficient number, since it is larger than the sum of its proper divisors (55826542).

77117138 is a wasteful number, since it uses less digits than its factorization.

77117138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30961.

The product of its digits is 8232, while the sum is 35.

The square root of 77117138 is about 8781.6364078684. The cubic root of 77117138 is about 425.6477099513.

The spelling of 77117138 in words is "seventy-seven million, one hundred seventeen thousand, one hundred thirty-eight".