123810825 has 24 divisors (see below), whose sum is σ = 205085088. Its totient is φ = 65908480.

The previous prime is 123810781. The next prime is 123810829. The reversal of 123810825 is 528018321.

It is not a de Polignac number, because 123810825 - 2⁶ = 123810761 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123810792 and 123810801.

It is not an unprimeable number, because it can be changed into a prime (123810829) 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 23 ways as a sum of consecutive naturals, for example, 50017 + ... + 52433.

It is an arithmetic number, because the mean of its divisors is an integer number (8545212).

Almost surely, 2^123810825 is an apocalyptic number.

123810825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

123810825 is a deficient number, since it is larger than the sum of its proper divisors (81274263).

123810825 is a wasteful number, since it uses less digits than its factorization.

123810825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3113 (or 3108 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 123810825 is about 11127.0312752324. The cubic root of 123810825 is about 498.4093785460.

The spelling of 123810825 in words is "one hundred twenty-three million, eight hundred ten thousand, eight hundred twenty-five".