123821825 has 24 divisors (see below), whose sum is σ = 157608960. Its totient is φ = 96465600.

The previous prime is 123821813. The next prime is 123821849. The reversal of 123821825 is 528128321.

It is a happy number.

It is not a de Polignac number, because 123821825 - 2⁸ = 123821569 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123821791 and 123821800.

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, 186995 + ... + 187655.

It is an arithmetic number, because the mean of its divisors is an integer number (6567040).

Almost surely, 2^123821825 is an apocalyptic number.

It is an amenable number.

123821825 is a deficient number, since it is larger than the sum of its proper divisors (33787135).

123821825 is a wasteful number, since it uses less digits than its factorization.

123821825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 852 counting only the distinct ones).

The product of its digits is 7680, while the sum is 32.

The square root of 123821825 is about 11127.5255560255. The cubic root of 123821825 is about 498.4241385392.

The spelling of 123821825 in words is "one hundred twenty-three million, eight hundred twenty-one thousand, eight hundred twenty-five".