985506517 has 16 divisors (see below), whose sum is σ = 1009713600. Its totient is φ = 961712640.

The previous prime is 985506503. The next prime is 985506521. The reversal of 985506517 is 715605589.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-985506517 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 (985506617) 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, 3663459 + ... + 3663727.

It is an arithmetic number, because the mean of its divisors is an integer number (63107100).

Almost surely, 2^985506517 is an apocalyptic number.

985506517 is a gapful number since it is divisible by the number (97) formed by its first and last digit.

It is an amenable number.

985506517 is a deficient number, since it is larger than the sum of its proper divisors (24207083).

985506517 is a wasteful number, since it uses less digits than its factorization.

985506517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756.

The product of its (nonzero) digits is 378000, while the sum is 46.

The square root of 985506517 is about 31392.7781026146. The cubic root of 985506517 is about 995.1453091149.

The spelling of 985506517 in words is "nine hundred eighty-five million, five hundred six thousand, five hundred seventeen".