852257 has 6 divisors (see below), whose sum is σ = 991458. Its totient is φ = 730464.

The previous prime is 852253. The next prime is 852259. The reversal of 852257 is 752258.

It can be written as a sum of positive squares in only one way, i.e., 625681 + 226576 = 791^2 + 476^2 .

It is not a de Polignac number, because 852257 - 2² = 852253 is a prime.

It is a d-powerful number, because it can be written as 8⁵ + 5⁴ + 2¹⁸ + 2¹⁹ + 5⁶ + 7⁵ .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (852253) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8648 + ... + 8745.

It is an arithmetic number, because the mean of its divisors is an integer number (165243).

2⁸⁵²²⁵⁷ is an apocalyptic number.

It is an amenable number.

852257 is a deficient number, since it is larger than the sum of its proper divisors (139201).

852257 is a wasteful number, since it uses less digits than its factorization.

852257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17407 (or 17400 counting only the distinct ones).

The product of its digits is 5600, while the sum is 29.

The square root of 852257 is about 923.1776643745. The cubic root of 852257 is about 94.8105921449.

Subtracting from 852257 its reverse (752258), we obtain a palindrome (99999).

The spelling of 852257 in words is "eight hundred fifty-two thousand, two hundred fifty-seven".