27977625 has 48 divisors (see below), whose sum is σ = 54342288. Its totient is φ = 13766400.

The previous prime is 27977561. The next prime is 27977627. The reversal of 27977625 is 52677972.

It can be written as a sum of positive squares in 8 ways, for example, as 8714304 + 19263321 = 2952^2 + 4389^2 .

It is not a de Polignac number, because 27977625 - 2⁶ = 27977561 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (27977627) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13669 + ... + 15581.

It is an arithmetic number, because the mean of its divisors is an integer number (1132131).

Almost surely, 2^27977625 is an apocalyptic number.

27977625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

27977625 is a deficient number, since it is larger than the sum of its proper divisors (26364663).

27977625 is a wasteful number, since it uses less digits than its factorization.

27977625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947 (or 1934 counting only the distinct ones).

The product of its digits is 370440, while the sum is 45.

The square root of 27977625 is about 5289.3879608136. The cubic root of 27977625 is about 303.5779903014.

The spelling of 27977625 in words is "twenty-seven million, nine hundred seventy-seven thousand, six hundred twenty-five".