825761 has 4 divisors (see below), whose sum is σ = 834372. Its totient is φ = 817152.

The previous prime is 825749. The next prime is 825763. The reversal of 825761 is 167528.

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

It can be written as a sum of positive squares in 2 ways, for example, as 640000 + 185761 = 800^2 + 431^2 .

It is a cyclic number.

It is not a de Polignac number, because 825761 - 2⁶ = 825697 is a prime.

It is a d-powerful number, because it can be written as 8 + 2¹¹ + 7⁷ + 5³ + 6² + 1 .

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 825761.

It is not an unprimeable number, because it can be changed into a prime (825763) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4160 + ... + 4353.

It is an arithmetic number, because the mean of its divisors is an integer number (208593).

2⁸²⁵⁷⁶¹ is an apocalyptic number.

It is an amenable number.

825761 is a deficient number, since it is larger than the sum of its proper divisors (8611).

825761 is an equidigital number, since it uses as much as digits as its factorization.

825761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8610.

The product of its digits is 3360, while the sum is 29.

The square root of 825761 is about 908.7139263817. The cubic root of 825761 is about 93.8177016160.

The spelling of 825761 in words is "eight hundred twenty-five thousand, seven hundred sixty-one".