857164 has 48 divisors (see below), whose sum is σ = 1967616. Its totient is φ = 319440.

The previous prime is 857161. The next prime is 857167. The reversal of 857164 is 461758.

It is an interprime number because it is at equal distance from previous prime (857161) and next prime (857167).

It is not an unprimeable number, because it can be changed into a prime (857161) 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, 37257 + ... + 37279.

It is an arithmetic number, because the mean of its divisors is an integer number (40992).

2⁸⁵⁷¹⁶⁴ 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 857164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983808).

857164 is an abundant number, since it is smaller than the sum of its proper divisors (1110452).

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

857164 is a wasteful number, since it uses less digits than its factorization.

857164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 43 counting only the distinct ones).

The product of its digits is 6720, while the sum is 31.

The square root of 857164 is about 925.8315181500. The cubic root of 857164 is about 94.9922061935.

The spelling of 857164 in words is "eight hundred fifty-seven thousand, one hundred sixty-four".