825763 has 2 divisors, whose sum is σ = 825764. Its totient is φ = 825762.

The previous prime is 825749. The next prime is 825779. The reversal of 825763 is 367528.

825763 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-825763 is a prime.

It is a d-powerful number, because it can be written as 8 + 2¹¹ + 7⁷ + 5³ + 6² + 3 .

825763 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (825733) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412881 + 412882.

It is an arithmetic number, because the mean of its divisors is an integer number (412882).

2⁸²⁵⁷⁶³ is an apocalyptic number.

825763 is a deficient number, since it is larger than the sum of its proper divisors (1).

825763 is an equidigital number, since it uses as much as digits as its factorization.

825763 is an evil number, because the sum of its binary digits is even.

The product of its digits is 10080, while the sum is 31.

The square root of 825763 is about 908.7150268373. The cubic root of 825763 is about 93.8177773583.

The spelling of 825763 in words is "eight hundred twenty-five thousand, seven hundred sixty-three".