8400123 has 12 divisors (see below), whose sum is σ = 12169248. Its totient is φ = 5583600.

The previous prime is 8400097. The next prime is 8400131. The reversal of 8400123 is 3210048.

It is a happy number.

It is not a de Polignac number, because 8400123 - 2⁶ = 8400059 is a prime.

It is an Ulam number.

8400123 is a modest number, since divided by 123 gives 84 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 8400096 and 8400105.

It is not an unprimeable number, because it can be changed into a prime (8400143) 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 11 ways as a sum of consecutive naturals, for example, 2398 + ... + 4748.

It is an arithmetic number, because the mean of its divisors is an integer number (1014104).

Almost surely, 2^8400123 is an apocalyptic number.

8400123 is a deficient number, since it is larger than the sum of its proper divisors (3769125).

8400123 is a wasteful number, since it uses less digits than its factorization.

8400123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2754 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 8400123 is about 2898.2965686762. The cubic root of 8400123 is about 203.2802635546.

The spelling of 8400123 in words is "eight million, four hundred thousand, one hundred twenty-three".