27681225 has 96 divisors (see below), whose sum is σ = 56246400. Its totient is φ = 11827200.

The previous prime is 27681223. The next prime is 27681239. The reversal of 27681225 is 52218672.

It is not a de Polignac number, because 27681225 - 2¹ = 27681223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27681223) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 310981 + ... + 311069.

It is an arithmetic number, because the mean of its divisors is an integer number (585900).

Almost surely, 2^27681225 is an apocalyptic number.

27681225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

27681225 is an abundant number, since it is smaller than the sum of its proper divisors (28565175).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27681225 is a wasteful number, since it uses less digits than its factorization.

27681225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 150 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 27681225 is about 5261.2949926800. The cubic root of 27681225 is about 302.5021287103.

Adding to 27681225 its reverse (52218672), we get a palindrome (79899897).

It can be divided in two parts, 2768 and 1225, that added together give a palindrome (3993).

The spelling of 27681225 in words is "twenty-seven million, six hundred eighty-one thousand, two hundred twenty-five".