825801 has 8 divisors (see below), whose sum is σ = 1116864. Its totient is φ = 542640.

The previous prime is 825791. The next prime is 825821. The reversal of 825801 is 108528.

825801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 825801 - 2¹⁰ = 824777 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 825801.

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 7 ways as a sum of consecutive naturals, for example, 1726 + ... + 2151.

It is an arithmetic number, because the mean of its divisors is an integer number (139608).

2⁸²⁵⁸⁰¹ is an apocalyptic number.

It is an amenable number.

825801 is a deficient number, since it is larger than the sum of its proper divisors (291063).

825801 is a wasteful number, since it uses less digits than its factorization.

825801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3951.

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 825801 is about 908.7359352419. The cubic root of 825801 is about 93.8192164399.

The spelling of 825801 in words is "eight hundred twenty-five thousand, eight hundred one".