13825205 has 8 divisors (see below), whose sum is σ = 16648632. Its totient is φ = 11021248.

The previous prime is 13825193. The next prime is 13825213. The reversal of 13825205 is 50252831.

It can be written as a sum of positive squares in 4 ways, for example, as 4831204 + 8994001 = 2198^2 + 2999^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13825205 - 2²⁰ = 12776629 is a prime.

It is a super-2 number, since 2×13825205² = 382272586584050, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3254 + ... + 6183.

It is an arithmetic number, because the mean of its divisors is an integer number (2081079).

Almost surely, 2^13825205 is an apocalyptic number.

It is an amenable number.

13825205 is a deficient number, since it is larger than the sum of its proper divisors (2823427).

13825205 is an equidigital number, since it uses as much as digits as its factorization.

13825205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9735.

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 13825205 is about 3718.2260555270. The cubic root of 13825205 is about 240.0069731770.

The spelling of 13825205 in words is "thirteen million, eight hundred twenty-five thousand, two hundred five".