825733 has 2 divisors, whose sum is σ = 825734. Its totient is φ = 825732.

The previous prime is 825709. The next prime is 825739. The reversal of 825733 is 337528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 492804 + 332929 = 702^2 + 577^2 .

It is a cyclic number.

It is not a de Polignac number, because 825733 - 2⁵ = 825701 is a prime.

825733 is a lucky number.

It is a plaindrome in base 15.

It is a nialpdrome in base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (825739) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412866 + 412867.

It is an arithmetic number, because the mean of its divisors is an integer number (412867).

2⁸²⁵⁷³³ is an apocalyptic number.

It is an amenable number.

825733 is a deficient number, since it is larger than the sum of its proper divisors (1).

825733 is an equidigital number, since it uses as much as digits as its factorization.

825733 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5040, while the sum is 28.

The square root of 825733 is about 908.6985198623. The cubic root of 825733 is about 93.8166412102.

The spelling of 825733 in words is "eight hundred twenty-five thousand, seven hundred thirty-three".