27661325 has 12 divisors (see below), whose sum is σ = 34495188. Its totient is φ = 22003200.

The previous prime is 27661313. The next prime is 27661343. The reversal of 27661325 is 52316672.

It can be written as a sum of positive squares in 6 ways, for example, as 5354596 + 22306729 = 2314^2 + 4723^2 .

It is not a de Polignac number, because 27661325 - 2⁸ = 27661069 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 27661291 and 27661300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1469 + ... + 7581.

It is an arithmetic number, because the mean of its divisors is an integer number (2874599).

Almost surely, 2^27661325 is an apocalyptic number.

27661325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

27661325 is a deficient number, since it is larger than the sum of its proper divisors (6833863).

27661325 is a wasteful number, since it uses less digits than its factorization.

27661325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6304 (or 6299 counting only the distinct ones).

The product of its digits is 15120, while the sum is 32.

The square root of 27661325 is about 5259.4034832859. The cubic root of 27661325 is about 302.4296218580.

Adding to 27661325 its reverse (52316672), we get a palindrome (79977997).

The spelling of 27661325 in words is "twenty-seven million, six hundred sixty-one thousand, three hundred twenty-five".