123086625 has 32 divisors (see below), whose sum is σ = 205590528. Its totient is φ = 65398400.

The previous prime is 123086611. The next prime is 123086627. The reversal of 123086625 is 526680321.

It is not a de Polignac number, because 123086625 - 2⁴ = 123086609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (123086627) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 143197 + ... + 144053.

It is an arithmetic number, because the mean of its divisors is an integer number (6424704).

Almost surely, 2^123086625 is an apocalyptic number.

123086625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

123086625 is a deficient number, since it is larger than the sum of its proper divisors (82503903).

123086625 is an equidigital number, since it uses as much as digits as its factorization.

123086625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 123086625 is about 11094.4411756519. The cubic root of 123086625 is about 497.4357045939.

The spelling of 123086625 in words is "one hundred twenty-three million, eighty-six thousand, six hundred twenty-five".