13727025 has 81 divisors (see below), whose sum is σ = 28098369. Its totient is φ = 6402240.

The previous prime is 13727023. The next prime is 13727039. The reversal of 13727025 is 52072731.

The square root of 13727025 is 3705.

It is a perfect power (a square), and thus also a powerful number.

13727025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3538161 + 10188864 = 1881^2 + 3192^2 .

It is not a de Polignac number, because 13727025 - 2¹ = 13727023 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13727025.

It is not an unprimeable number, because it can be changed into a prime (13727023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 722466 + ... + 722484.

Almost surely, 2^13727025 is an apocalyptic number.

13727025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13727025 is the 3705-th square number.

13727025 is the 1853-rd centered octagonal number.

It is an amenable number.

13727025 is an abundant number, since it is smaller than the sum of its proper divisors (14371344).

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

13727025 is a wasteful number, since it uses less digits than its factorization.

13727025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The cubic root of 13727025 is about 239.4374846822.

Adding to 13727025 its reverse (52072731), we get a palindrome (65799756).

The spelling of 13727025 in words is "thirteen million, seven hundred twenty-seven thousand, twenty-five".