825824 has 24 divisors (see below), whose sum is σ = 1646568. Its totient is φ = 407680.

The previous prime is 825821. The next prime is 825827. The reversal of 825824 is 428528.

825824 = T₂₁₁ + T₂₁₂ + ... + T₂₄₂.

It is an interprime number because it is at equal distance from previous prime (825821) and next prime (825827).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 825824.

It is not an unprimeable number, because it can be changed into a prime (825821) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4094 + ... + 4290.

It is an arithmetic number, because the mean of its divisors is an integer number (68607).

2⁸²⁵⁸²⁴ is an apocalyptic number.

It is an amenable number.

825824 is a deficient number, since it is larger than the sum of its proper divisors (820744).

825824 is a wasteful number, since it uses less digits than its factorization.

825824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 330 counting only the distinct ones).

The product of its digits is 5120, while the sum is 29.

The square root of 825824 is about 908.7485900952. The cubic root of 825824 is about 93.8200874415.

The spelling of 825824 in words is "eight hundred twenty-five thousand, eight hundred twenty-four".