13827825 has 72 divisors (see below), whose sum is σ = 27932736. Its totient is φ = 6480000.

The previous prime is 13827799. The next prime is 13827833. The reversal of 13827825 is 52872831.

It is not a de Polignac number, because 13827825 - 2⁹ = 13827313 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13827825.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 91500 + ... + 91650.

Almost surely, 2^13827825 is an apocalyptic number.

13827825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13827825 is an abundant number, since it is smaller than the sum of its proper divisors (14104911).

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

13827825 is a wasteful number, since it uses less digits than its factorization.

13827825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 207 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 13827825 is about 3718.5783573834. The cubic root of 13827825 is about 240.0221333754.

The spelling of 13827825 in words is "thirteen million, eight hundred twenty-seven thousand, eight hundred twenty-five".