825891 has 16 divisors (see below), whose sum is σ = 1244160. Its totient is φ = 482720.

The previous prime is 825889. The next prime is 825919. The reversal of 825891 is 198528.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 825891 - 2¹ = 825889 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

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

825891 is a modest number, since divided by 891 gives 825 as remainder.

It is not an unprimeable number, because it can be changed into a prime (825821) 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, 526 + ... + 1388.

It is an arithmetic number, because the mean of its divisors is an integer number (77760).

2⁸²⁵⁸⁹¹ is an apocalyptic number.

825891 is a deficient number, since it is larger than the sum of its proper divisors (418269).

825891 is a wasteful number, since it uses less digits than its factorization.

825891 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906.

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

The square root of 825891 is about 908.7854532286. The cubic root of 825891 is about 93.8226246148.

The spelling of 825891 in words is "eight hundred twenty-five thousand, eight hundred ninety-one".