27641133 has 36 divisors (see below), whose sum is σ = 45819540. Its totient is φ = 15994368.

The previous prime is 27641129. The next prime is 27641153. The reversal of 27641133 is 33114672.

27641133 is a `hidden beast` number, since 2 + 7 + 641 + 13 + 3 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1814409 + 25826724 = 1347^2 + 5082^2 .

It is not a de Polignac number, because 27641133 - 2² = 27641129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 27641097 and 27641106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27641153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25323 + ... + 26391.

It is an arithmetic number, because the mean of its divisors is an integer number (1272765).

Almost surely, 2^27641133 is an apocalyptic number.

It is an amenable number.

27641133 is a deficient number, since it is larger than the sum of its proper divisors (18178407).

27641133 is a wasteful number, since it uses less digits than its factorization.

27641133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1102 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 27641133 is about 5257.4835235120. The cubic root of 27641133 is about 302.3560155331.

The spelling of 27641133 in words is "twenty-seven million, six hundred forty-one thousand, one hundred thirty-three".