825717 has 8 divisors (see below), whose sum is σ = 1139040. Its totient is φ = 531440.

The previous prime is 825709. The next prime is 825733. The reversal of 825717 is 717528.

It is a happy number.

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 825717 - 2³ = 825709 is a prime.

It is a plaindrome in base 15.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825017) 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, 4659 + ... + 4832.

It is an arithmetic number, because the mean of its divisors is an integer number (142380).

2⁸²⁵⁷¹⁷ is an apocalyptic number.

825717 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

It is an amenable number.

825717 is a deficient number, since it is larger than the sum of its proper divisors (313323).

825717 is a wasteful number, since it uses less digits than its factorization.

825717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9523.

The product of its digits is 3920, while the sum is 30.

The square root of 825717 is about 908.6897160197. The cubic root of 825717 is about 93.8160352532.

The spelling of 825717 in words is "eight hundred twenty-five thousand, seven hundred seventeen".