825767 has 4 divisors (see below), whose sum is σ = 835800. Its totient is φ = 815736.

The previous prime is 825763. The next prime is 825779. The reversal of 825767 is 767528.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 825767 - 2² = 825763 is a prime.

It is a super-2 number, since 2×825767² = 1363782276578, which contains 22 as substring.

It is a d-powerful number, because it can be written as 8 + 2¹¹ + 7 + 5³ + 6² + 7⁷ .

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825763) 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 3 ways as a sum of consecutive naturals, for example, 4892 + ... + 5057.

It is an arithmetic number, because the mean of its divisors is an integer number (208950).

2⁸²⁵⁷⁶⁷ is an apocalyptic number.

825767 is a deficient number, since it is larger than the sum of its proper divisors (10033).

825767 is an equidigital number, since it uses as much as digits as its factorization.

825767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10032.

The product of its digits is 23520, while the sum is 35.

The square root of 825767 is about 908.7172277447. The cubic root of 825767 is about 93.8179288427.

The spelling of 825767 in words is "eight hundred twenty-five thousand, seven hundred sixty-seven".