825693 has 16 divisors (see below), whose sum is σ = 1216512. Its totient is φ = 494000.

The previous prime is 825689. The next prime is 825697. The reversal of 825693 is 396528.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (825689) and next prime (825697).

It is a cyclic number.

It is not a de Polignac number, because 825693 - 2² = 825689 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825697) 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 in 15 ways as a sum of consecutive naturals, for example, 4228 + ... + 4418.

It is an arithmetic number, because the mean of its divisors is an integer number (76032).

2⁸²⁵⁶⁹³ is an apocalyptic number.

It is an amenable number.

825693 is a deficient number, since it is larger than the sum of its proper divisors (390819).

825693 is a wasteful number, since it uses less digits than its factorization.

825693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336.

The product of its digits is 12960, while the sum is 33.

The square root of 825693 is about 908.6765100959. The cubic root of 825693 is about 93.8151263031.

Adding to 825693 its reverse (396528), we get a palindrome (1222221).

It can be divided in two parts, 82 and 5693, that added together give a palindrome (5775).

The spelling of 825693 in words is "eight hundred twenty-five thousand, six hundred ninety-three".