825073 has 2 divisors, whose sum is σ = 825074. Its totient is φ = 825072.

The previous prime is 825067. The next prime is 825101. The reversal of 825073 is 370528.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 567009 + 258064 = 753^2 + 508^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-825073 is a prime.

It is not a weakly prime, because it can be changed into another prime (820073) 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 as a sum of consecutive naturals, namely, 412536 + 412537.

It is an arithmetic number, because the mean of its divisors is an integer number (412537).

2⁸²⁵⁰⁷³ is an apocalyptic number.

It is an amenable number.

825073 is a deficient number, since it is larger than the sum of its proper divisors (1).

825073 is an equidigital number, since it uses as much as digits as its factorization.

825073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 825073 is about 908.3352905178. The cubic root of 825073 is about 93.7916389848.

The spelling of 825073 in words is "eight hundred twenty-five thousand, seventy-three".