12517164 has 72 divisors (see below), whose sum is σ = 35070672. Its totient is φ = 3732480.

The previous prime is 12517163. The next prime is 12517187. The reversal of 12517164 is 46171521.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12517163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28692 + ... + 29124.

Almost surely, 2^12517164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12517164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17535336).

12517164 is an abundant number, since it is smaller than the sum of its proper divisors (22553508).

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

12517164 is a wasteful number, since it uses less digits than its factorization.

12517164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 522 counting only the distinct ones).

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

The square root of 12517164 is about 3537.9604294000. The cubic root of 12517164 is about 232.1856174058.

Adding to 12517164 its reverse (46171521), we get a palindrome (58688685).

The spelling of 12517164 in words is "twelve million, five hundred seventeen thousand, one hundred sixty-four".