13825017 has 12 divisors (see below), whose sum is σ = 20007780. Its totient is φ = 9199008.

The previous prime is 13824991. The next prime is 13825033. The reversal of 13825017 is 71052831.

It can be written as a sum of positive squares in 2 ways, for example, as 7817616 + 6007401 = 2796^2 + 2451^2 .

It is not a de Polignac number, because 13825017 - 2⁶ = 13824953 is a prime.

It is a super-2 number, since 2×13825017² = 382262190100578, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13825037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4959 + ... + 7227.

It is an arithmetic number, because the mean of its divisors is an integer number (1667315).

Almost surely, 2^13825017 is an apocalyptic number.

It is an amenable number.

13825017 is a deficient number, since it is larger than the sum of its proper divisors (6182763).

13825017 is a wasteful number, since it uses less digits than its factorization.

13825017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2952 (or 2949 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 13825017 is about 3718.2007745683. The cubic root of 13825017 is about 240.0058852723.

Adding to 13825017 its reverse (71052831), we get a palindrome (84877848).

The spelling of 13825017 in words is "thirteen million, eight hundred twenty-five thousand, seventeen".