8125407 has 32 divisors (see below), whose sum is σ = 12979200. Its totient is φ = 5007744.

The previous prime is 8125391. The next prime is 8125427. The reversal of 8125407 is 7045218.

It is not a de Polignac number, because 8125407 - 2⁴ = 8125391 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

8125407 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8125427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23943 + ... + 24279.

It is an arithmetic number, because the mean of its divisors is an integer number (405600).

Almost surely, 2^8125407 is an apocalyptic number.

8125407 is a deficient number, since it is larger than the sum of its proper divisors (4853793).

8125407 is a wasteful number, since it uses less digits than its factorization.

8125407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 8125407 is about 2850.5099543766. The cubic root of 8125407 is about 201.0396446639.

The spelling of 8125407 in words is "eight million, one hundred twenty-five thousand, four hundred seven".