77046533 has 18 divisors (see below), whose sum is σ = 85032246. Its totient is φ = 69793024.

The previous prime is 77046517. The next prime is 77046551. The reversal of 77046533 is 33564077.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 8868484 + 68178049 = 2978^2 + 8257^2 .

It is not a de Polignac number, because 77046533 - 2⁴ = 77046517 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 77046493 and 77046502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77046833) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 242891 + ... + 243207.

Almost surely, 2^77046533 is an apocalyptic number.

It is an amenable number.

77046533 is a deficient number, since it is larger than the sum of its proper divisors (7985713).

77046533 is a wasteful number, since it uses less digits than its factorization.

77046533 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 35.

The square root of 77046533 is about 8777.6154506791. The cubic root of 77046533 is about 425.5177689563.

The spelling of 77046533 in words is "seventy-seven million, forty-six thousand, five hundred thirty-three".