852819 has 16 divisors (see below), whose sum is σ = 1271424. Its totient is φ = 504000.

The previous prime is 852809. The next prime is 852827. The reversal of 852819 is 918258.

It is a happy number.

It is not a de Polignac number, because 852819 - 2⁸ = 852563 is a prime.

It is a super-2 number, since 2×852819² = 1454600493522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 852819.

It is not an unprimeable number, because it can be changed into a prime (852809) 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, 1119 + ... + 1719.

It is an arithmetic number, because the mean of its divisors is an integer number (79464).

2⁸⁵²⁸¹⁹ is an apocalyptic number.

852819 is a deficient number, since it is larger than the sum of its proper divisors (418605).

852819 is a wasteful number, since it uses less digits than its factorization.

852819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658.

The product of its digits is 5760, while the sum is 33.

The square root of 852819 is about 923.4819976589. The cubic root of 852819 is about 94.8314277399.

The spelling of 852819 in words is "eight hundred fifty-two thousand, eight hundred nineteen".