27980225 has 48 divisors (see below), whose sum is σ = 43747200. Its totient is φ = 17640000.

The previous prime is 27980221. The next prime is 27980233. The reversal of 27980225 is 52208972.

It is not a de Polignac number, because 27980225 - 2² = 27980221 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (27980221) 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 47 ways as a sum of consecutive naturals, for example, 111350 + ... + 111600.

It is an arithmetic number, because the mean of its divisors is an integer number (911400).

Almost surely, 2^27980225 is an apocalyptic number.

27980225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

27980225 is a deficient number, since it is larger than the sum of its proper divisors (15766975).

27980225 is a wasteful number, since it uses less digits than its factorization.

27980225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 27980225 is about 5289.6337302312. The cubic root of 27980225 is about 303.5873939865.

The spelling of 27980225 in words is "twenty-seven million, nine hundred eighty thousand, two hundred twenty-five".