27561633 has 16 divisors (see below), whose sum is σ = 41174976. Its totient is φ = 16251840.

The previous prime is 27561619. The next prime is 27561637. The reversal of 27561633 is 33616572.

It is not a de Polignac number, because 27561633 - 2⁴ = 27561617 is a prime.

It is a super-2 number, since 2×27561633² = 1519287227253378, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 27561594 and 27561603.

It is not an unprimeable number, because it can be changed into a prime (27561637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10066 + ... + 12507.

It is an arithmetic number, because the mean of its divisors is an integer number (2573436).

Almost surely, 2^27561633 is an apocalyptic number.

It is an amenable number.

27561633 is a deficient number, since it is larger than the sum of its proper divisors (13613343).

27561633 is a wasteful number, since it uses less digits than its factorization.

27561633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22624.

The product of its digits is 22680, while the sum is 33.

The square root of 27561633 is about 5249.9174279221. The cubic root of 27561633 is about 302.0658635932.

Subtracting from 27561633 its sum of digits (33), we obtain a triangular number (27561600 = T₇₄₂₄).

The spelling of 27561633 in words is "twenty-seven million, five hundred sixty-one thousand, six hundred thirty-three".