17680013 has 16 divisors (see below), whose sum is σ = 20697600. Its totient is φ = 14955840.

The previous prime is 17680007. The next prime is 17680049. The reversal of 17680013 is 31008671.

It is a cyclic number.

It is not a de Polignac number, because 17680013 - 2²⁰ = 16631437 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17680073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6503 + ... + 8811.

It is an arithmetic number, because the mean of its divisors is an integer number (1293600).

Almost surely, 2^17680013 is an apocalyptic number.

17680013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

17680013 is a deficient number, since it is larger than the sum of its proper divisors (3017587).

17680013 is a wasteful number, since it uses less digits than its factorization.

17680013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2372.

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 17680013 is about 4204.7607541928. The cubic root of 17680013 is about 260.5118761954.

Adding to 17680013 its reverse (31008671), we get a palindrome (48688684).

The spelling of 17680013 in words is "seventeen million, six hundred eighty thousand, thirteen".