825983 has 2 divisors, whose sum is σ = 825984. Its totient is φ = 825982.

The previous prime is 825971. The next prime is 825991. The reversal of 825983 is 389528.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 825983 - 2⁶ = 825919 is a prime.

It is a plaindrome in base 12.

It is a zygodrome in base 3.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 825983.

It is not a weakly prime, because it can be changed into another prime (825283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412991 + 412992.

It is an arithmetic number, because the mean of its divisors is an integer number (412992).

2⁸²⁵⁹⁸³ is an apocalyptic number.

825983 is a deficient number, since it is larger than the sum of its proper divisors (1).

825983 is an equidigital number, since it uses as much as digits as its factorization.

825983 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17280, while the sum is 35.

The square root of 825983 is about 908.8360688265. The cubic root of 825983 is about 93.8261082710.

The spelling of 825983 in words is "eight hundred twenty-five thousand, nine hundred eighty-three".