825951 has 16 divisors (see below), whose sum is σ = 1293824. Its totient is φ = 458784.

The previous prime is 825947. The next prime is 825959. The reversal of 825951 is 159528.

It is not a de Polignac number, because 825951 - 2² = 825947 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

825951 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825959) 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, 246 + ... + 1308.

It is an arithmetic number, because the mean of its divisors is an integer number (80864).

2⁸²⁵⁹⁵¹ is an apocalyptic number.

825951 is a deficient number, since it is larger than the sum of its proper divisors (467873).

825951 is a wasteful number, since it uses less digits than its factorization.

825951 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110.

The product of its digits is 3600, while the sum is 30.

The square root of 825951 is about 908.8184637209. The cubic root of 825951 is about 93.8248965938.

The spelling of 825951 in words is "eight hundred twenty-five thousand, nine hundred fifty-one".