825687 has 16 divisors (see below), whose sum is σ = 1248480. Its totient is φ = 539136.

The previous prime is 825679. The next prime is 825689. The reversal of 825687 is 786528.

It is not a de Polignac number, because 825687 - 2³ = 825679 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 15.

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 (825689) 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 15 ways as a sum of consecutive naturals, for example, 1143 + ... + 1719.

It is an arithmetic number, because the mean of its divisors is an integer number (78030).

2⁸²⁵⁶⁸⁷ is an apocalyptic number.

825687 is a deficient number, since it is larger than the sum of its proper divisors (422793).

825687 is a wasteful number, since it uses less digits than its factorization.

825687 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 633 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 825687 is about 908.6732085849. The cubic root of 825687 is about 93.8148990628.

The spelling of 825687 in words is "eight hundred twenty-five thousand, six hundred eighty-seven".