12917628 has 36 divisors (see below), whose sum is σ = 34074768. Its totient is φ = 4118400.

The previous prime is 12917627. The next prime is 12917633. The reversal of 12917628 is 82671921.

12917628 is a `hidden beast` number, since 1 + 29 + 1 + 7 + 628 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×12917628² = 333730226292768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12917592 and 12917601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12917623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6973 + ... + 8628.

Almost surely, 2^12917628 is an apocalyptic number.

12917628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12917628 is an abundant number, since it is smaller than the sum of its proper divisors (21157140).

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

12917628 is a wasteful number, since it uses less digits than its factorization.

12917628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15634 (or 15629 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 12917628 is about 3594.1101819505. The cubic root of 12917628 is about 234.6357901367.

The spelling of 12917628 in words is "twelve million, nine hundred seventeen thousand, six hundred twenty-eight".