77561133 has 16 divisors (see below), whose sum is σ = 111873216. Its totient is φ = 47514240.

The previous prime is 77561131. The next prime is 77561147. The reversal of 77561133 is 33116577.

It is not a de Polignac number, because 77561133 - 2¹ = 77561131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 77561094 and 77561103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77561131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4473 + ... + 13233.

It is an arithmetic number, because the mean of its divisors is an integer number (6992076).

Almost surely, 2^77561133 is an apocalyptic number.

It is an amenable number.

77561133 is a deficient number, since it is larger than the sum of its proper divisors (34312083).

77561133 is a wasteful number, since it uses less digits than its factorization.

77561133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9004.

The product of its digits is 13230, while the sum is 33.

The square root of 77561133 is about 8806.8798674673. The cubic root of 77561133 is about 426.4630234107.

The spelling of 77561133 in words is "seventy-seven million, five hundred sixty-one thousand, one hundred thirty-three".