8400125 has 32 divisors (see below), whose sum is σ = 11456640. Its totient is φ = 6124800.

The previous prime is 8400097. The next prime is 8400131. The reversal of 8400125 is 5210048.

8400125 = 44² + 45² + ... + 293².

It is not a de Polignac number, because 8400125 - 2⁶ = 8400061 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8400097 and 8400106.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 125342 + ... + 125408.

It is an arithmetic number, because the mean of its divisors is an integer number (358020).

Almost surely, 2^8400125 is an apocalyptic number.

8400125 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

8400125 is a deficient number, since it is larger than the sum of its proper divisors (3056515).

8400125 is a wasteful number, since it uses less digits than its factorization.

8400125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 8400125 is about 2898.2969137064. The cubic root of 8400125 is about 203.2802796877.

The spelling of 8400125 in words is "eight million, four hundred thousand, one hundred twenty-five".