77106933 has 24 divisors (see below), whose sum is σ = 113265152. Its totient is φ = 50541408.

The previous prime is 77106929. The next prime is 77106961. The reversal of 77106933 is 33960177.

It is not a de Polignac number, because 77106933 - 2² = 77106929 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77106433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206535 + ... + 206907.

Almost surely, 2^77106933 is an apocalyptic number.

It is an amenable number.

77106933 is a deficient number, since it is larger than the sum of its proper divisors (36158219).

77106933 is a wasteful number, since it uses less digits than its factorization.

77106933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 36.

The square root of 77106933 is about 8781.0553465970. The cubic root of 77106933 is about 425.6289336385.

The spelling of 77106933 in words is "seventy-seven million, one hundred six thousand, nine hundred thirty-three".