8117000 has 32 divisors (see below), whose sum is σ = 18996120. Its totient is φ = 3246400.

The previous prime is 8116993. The next prime is 8117017. The reversal of 8117000 is 7118.

It can be written as a sum of positive squares in 4 ways, for example, as 4251844 + 3865156 = 2062^2 + 1966^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 8117000.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3059 + ... + 5058.

Almost surely, 2^8117000 is an apocalyptic number.

It is an amenable number.

8117000 is an abundant number, since it is smaller than the sum of its proper divisors (10879120).

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

8117000 is a wasteful number, since it uses less digits than its factorization.

8117000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8138 (or 8124 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 17.

The square root of 8117000 is about 2849.0349243209. The cubic root of 8117000 is about 200.9702851216.

The spelling of 8117000 in words is "eight million, one hundred seventeen thousand".