84561633 has 12 divisors (see below), whose sum is σ = 131540500. Its totient is φ = 52037856.

The previous prime is 84561551. The next prime is 84561637. The reversal of 84561633 is 33616548.

84561633 is a `hidden beast` number, since 8 + 4 + 5 + 616 + 33 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 47983329 + 36578304 = 6927^2 + 6048^2 .

It is not a de Polignac number, because 84561633 - 2⁹ = 84561121 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (84561637) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 361258 + ... + 361491.

Almost surely, 2^84561633 is an apocalyptic number.

It is an amenable number.

84561633 is a deficient number, since it is larger than the sum of its proper divisors (46978867).

84561633 is a wasteful number, since it uses less digits than its factorization.

84561633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722768 (or 722765 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 84561633 is about 9195.7399376015. The cubic root of 84561633 is about 438.9258111496.

The spelling of 84561633 in words is "eighty-four million, five hundred sixty-one thousand, six hundred thirty-three".