8197000 has 64 divisors (see below), whose sum is σ = 21939840. Its totient is φ = 2808000.

The previous prime is 8196971. The next prime is 8197001. The reversal of 8197000 is 7918.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (8197001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6415 + ... + 7585.

It is an arithmetic number, because the mean of its divisors is an integer number (342810).

Almost surely, 2^8197000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8197000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10969920).

8197000 is an abundant number, since it is smaller than the sum of its proper divisors (13742840).

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

8197000 is a wasteful number, since it uses less digits than its factorization.

8197000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 25.

The square root of 8197000 is about 2863.0403420141. The cubic root of 8197000 is about 201.6283726969.

The spelling of 8197000 in words is "eight million, one hundred ninety-seven thousand".