825993 has 18 divisors (see below), whose sum is σ = 1388634. Its totient is φ = 471744.

The previous prime is 825991. The next prime is 825997. The reversal of 825993 is 399528.

It can be written as a sum of positive squares in only one way, i.e., 480249 + 345744 = 693^2 + 588^2 .

It is not a de Polignac number, because 825993 - 2¹ = 825991 is a prime.

825993 is a lucky number.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (825991) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 496 + ... + 1377.

2⁸²⁵⁹⁹³ is an apocalyptic number.

It is an amenable number.

825993 is a deficient number, since it is larger than the sum of its proper divisors (562641).

825993 is a wasteful number, since it uses less digits than its factorization.

825993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893 (or 1883 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 825993 is about 908.8415703521. The cubic root of 825993 is about 93.8264869137.

The spelling of 825993 in words is "eight hundred twenty-five thousand, nine hundred ninety-three".