825965 has 8 divisors (see below), whose sum is σ = 1132800. Its totient is φ = 566352.

The previous prime is 825961. The next prime is 825971. The reversal of 825965 is 569528.

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

It is a cyclic number.

It is not a de Polignac number, because 825965 - 2² = 825961 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35), and also a Moran number because the ratio is a prime number: 23599 = 825965 / (8 + 2 + 5 + 9 + 6 + 5).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11765 + ... + 11834.

It is an arithmetic number, because the mean of its divisors is an integer number (141600).

2⁸²⁵⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

825965 is a deficient number, since it is larger than the sum of its proper divisors (306835).

825965 is a wasteful number, since it uses less digits than its factorization.

825965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23611.

The product of its digits is 21600, while the sum is 35.

The square root of 825965 is about 908.8261659966. The cubic root of 825965 is about 93.8254267065.

The spelling of 825965 in words is "eight hundred twenty-five thousand, nine hundred sixty-five".