13217625 has 48 divisors (see below), whose sum is σ = 24660480. Its totient is φ = 6804000.

The previous prime is 13217579. The next prime is 13217629. The reversal of 13217625 is 52671231.

It is a happy number.

13217625 is a `hidden beast` number, since 1 + 32 + 1 + 7 + 625 = 666.

It is not a de Polignac number, because 13217625 - 2¹⁰ = 13216601 is a prime.

It is a super-2 number, since 2×13217625² = 349411221281250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13217629) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34686 + ... + 35064.

It is an arithmetic number, because the mean of its divisors is an integer number (513760).

Almost surely, 2^13217625 is an apocalyptic number.

13217625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13217625 is a deficient number, since it is larger than the sum of its proper divisors (11442855).

13217625 is a wasteful number, since it uses less digits than its factorization.

13217625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 418 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 13217625 is about 3635.6051765834. The cubic root of 13217625 is about 236.4382894682.

Adding to 13217625 its reverse (52671231), we get a palindrome (65888856).

The spelling of 13217625 in words is "thirteen million, two hundred seventeen thousand, six hundred twenty-five".