27120249 has 24 divisors (see below), whose sum is σ = 43647240. Its totient is φ = 16111872.

The previous prime is 27120227. The next prime is 27120263. The reversal of 27120249 is 94202172.

It can be written as a sum of positive squares in 4 ways, for example, as 28224 + 27092025 = 168^2 + 5205^2 .

It is not a de Polignac number, because 27120249 - 2⁸ = 27119993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27120349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 604 + ... + 7389.

It is an arithmetic number, because the mean of its divisors is an integer number (1818635).

Almost surely, 2^27120249 is an apocalyptic number.

27120249 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

27120249 is a deficient number, since it is larger than the sum of its proper divisors (16526991).

27120249 is a wasteful number, since it uses less digits than its factorization.

27120249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8041 (or 8038 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 27120249 is about 5207.7105334302. The cubic root of 27120249 is about 300.4447071262. Note that the first 3 decimals are identical.

The spelling of 27120249 in words is "twenty-seven million, one hundred twenty thousand, two hundred forty-nine".