27961125 has 32 divisors (see below), whose sum is σ = 46904832. Its totient is φ = 14792000.

The previous prime is 27961121. The next prime is 27961187. The reversal of 27961125 is 52116972.

It is not a de Polignac number, because 27961125 - 2² = 27961121 is a prime.

It is a super-2 number, since 2×27961125² = 1563649022531250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27961121) 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 31 ways as a sum of consecutive naturals, for example, 64660 + ... + 65090.

It is an arithmetic number, because the mean of its divisors is an integer number (1465776).

Almost surely, 2^27961125 is an apocalyptic number.

27961125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

27961125 is a deficient number, since it is larger than the sum of its proper divisors (18943707).

27961125 is a wasteful number, since it uses less digits than its factorization.

27961125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 612 counting only the distinct ones).

The product of its digits is 7560, while the sum is 33.

The square root of 27961125 is about 5287.8280040107. The cubic root of 27961125 is about 303.5182994846.

The spelling of 27961125 in words is "twenty-seven million, nine hundred sixty-one thousand, one hundred twenty-five".