857344 has 36 divisors (see below), whose sum is σ = 1821204. Its totient is φ = 401408.

The previous prime is 857341. The next prime is 857347. The reversal of 857344 is 443758.

It is an interprime number because it is at equal distance from previous prime (857341) and next prime (857347).

It can be written as a sum of positive squares in 2 ways, for example, as 774400 + 82944 = 880^2 + 288^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (857341) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4254 + ... + 4450.

It is an arithmetic number, because the mean of its divisors is an integer number (50589).

2⁸⁵⁷³⁴⁴ 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 857344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910602).

857344 is an abundant number, since it is smaller than the sum of its proper divisors (963860).

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

857344 is a wasteful number, since it uses less digits than its factorization.

857344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 216 counting only the distinct ones).

The product of its digits is 13440, while the sum is 31.

The square root of 857344 is about 925.9287229587. The cubic root of 857344 is about 94.9988550185.

Adding to 857344 its sum of digits (31), we get a cube (857375 = 95³).

The spelling of 857344 in words is "eight hundred fifty-seven thousand, three hundred forty-four".