827506917 has 12 divisors (see below), whose sum is σ = 1212123744. Its totient is φ = 543900840.

The previous prime is 827506891. The next prime is 827506937. The reversal of 827506917 is 719605728.

It is not a de Polignac number, because 827506917 - 2⁶ = 827506853 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827506937) 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, 646863 + ... + 648140.

It is an arithmetic number, because the mean of its divisors is an integer number (101010312).

Almost surely, 2^827506917 is an apocalyptic number.

It is an amenable number.

827506917 is a deficient number, since it is larger than the sum of its proper divisors (384616827).

827506917 is a wasteful number, since it uses less digits than its factorization.

827506917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295080 (or 1295077 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 827506917 is about 28766.4199545234. The cubic root of 827506917 is about 938.8377505837.

The spelling of 827506917 in words is "eight hundred twenty-seven million, five hundred six thousand, nine hundred seventeen".