7823825 has 24 divisors (see below), whose sum is σ = 10546200. Its totient is φ = 5734400.

The previous prime is 7823819. The next prime is 7823831. The reversal of 7823825 is 5283287.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7823819) and next prime (7823831).

It can be written as a sum of positive squares in 12 ways, for example, as 2588881 + 5234944 = 1609^2 + 2288^2 .

It is not a de Polignac number, because 7823825 - 2¹² = 7819729 is a prime.

It is a super-2 number, since 2×7823825² = 122424475261250, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17201 + ... + 17649.

It is an arithmetic number, because the mean of its divisors is an integer number (439425).

Almost surely, 2^7823825 is an apocalyptic number.

It is an amenable number.

7823825 is a deficient number, since it is larger than the sum of its proper divisors (2722375).

7823825 is a wasteful number, since it uses less digits than its factorization.

7823825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 512 counting only the distinct ones).

The product of its digits is 26880, while the sum is 35.

The square root of 7823825 is about 2797.1101158160. The cubic root of 7823825 is about 198.5209642281.

The spelling of 7823825 in words is "seven million, eight hundred twenty-three thousand, eight hundred twenty-five".