857000 has 32 divisors (see below), whose sum is σ = 2007720. Its totient is φ = 342400.

The previous prime is 856993. The next prime is 857009. The reversal of 857000 is 758.

It can be written as a sum of positive squares in 4 ways, for example, as 465124 + 391876 = 682^2 + 626^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (857009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 572 + ... + 1428.

2⁸⁵⁷⁰⁰⁰ 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 857000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003860).

857000 is an abundant number, since it is smaller than the sum of its proper divisors (1150720).

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

857000 is a wasteful number, since it uses less digits than its factorization.

857000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 857000 is about 925.7429448826. The cubic root of 857000 is about 94.9861475647.

Adding to 857000 its reverse (758), we get a palindrome (857758).

The spelling of 857000 in words is "eight hundred fifty-seven thousand".