27967125 has 64 divisors (see below), whose sum is σ = 50948352. Its totient is φ = 13568000.

The previous prime is 27967117. The next prime is 27967127. The reversal of 27967125 is 52176972.

It is not a de Polignac number, because 27967125 - 2³ = 27967117 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27967127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 261322 + ... + 261428.

It is an arithmetic number, because the mean of its divisors is an integer number (796068).

Almost surely, 2^27967125 is an apocalyptic number.

27967125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

27967125 is a deficient number, since it is larger than the sum of its proper divisors (22981227).

27967125 is a wasteful number, since it uses less digits than its factorization.

27967125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 173 counting only the distinct ones).

The product of its digits is 52920, while the sum is 39.

The square root of 27967125 is about 5288.3953142707. The cubic root of 27967125 is about 303.5400079525.

The spelling of 27967125 in words is "twenty-seven million, nine hundred sixty-seven thousand, one hundred twenty-five".