825567 has 8 divisors (see below), whose sum is σ = 1112496. Its totient is φ = 544512.

The previous prime is 825553. The next prime is 825577. The reversal of 825567 is 765528.

It is a happy number.

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

It is not a de Polignac number, because 825567 - 2⁴ = 825551 is a prime.

It is a d-powerful number, because it can be written as 8³ + 2⁸ + 5⁴ + 5⁴ + 6 + 7⁷ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825527) 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, 1128 + ... + 1709.

It is an arithmetic number, because the mean of its divisors is an integer number (139062).

2⁸²⁵⁵⁶⁷ is an apocalyptic number.

825567 is a deficient number, since it is larger than the sum of its proper divisors (286929).

825567 is a wasteful number, since it uses less digits than its factorization.

825567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2937.

The product of its digits is 16800, while the sum is 33.

The square root of 825567 is about 908.6071758466. The cubic root of 825567 is about 93.8103540261.

The spelling of 825567 in words is "eight hundred twenty-five thousand, five hundred sixty-seven".