823825 has 12 divisors (see below), whose sum is σ = 1055488. Its totient is φ = 637200.

The previous prime is 823819. The next prime is 823829. The reversal of 823825 is 528328.

It is not a de Polignac number, because 823825 - 2¹⁷ = 692753 is a prime.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 823793 and 823802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 244 + ... + 1306.

2⁸²³⁸²⁵ is an apocalyptic number.

It is an amenable number.

823825 is a deficient number, since it is larger than the sum of its proper divisors (231663).

823825 is a wasteful number, since it uses less digits than its factorization.

823825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1099 counting only the distinct ones).

The product of its digits is 3840, while the sum is 28.

The square root of 823825 is about 907.6480595473. The cubic root of 823825 is about 93.7443255825.

The spelling of 823825 in words is "eight hundred twenty-three thousand, eight hundred twenty-five".