8001125 has 36 divisors (see below), whose sum is σ = 11473644. Its totient is φ = 5566000.

The previous prime is 8001107. The next prime is 8001157. The reversal of 8001125 is 5211008.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 256036 + 7745089 = 506^2 + 2783^2 .

It is not a de Polignac number, because 8001125 - 2⁸ = 8000869 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 347864 + ... + 347886.

Almost surely, 2^8001125 is an apocalyptic number.

It is an amenable number.

8001125 is a deficient number, since it is larger than the sum of its proper divisors (3472519).

8001125 is a wasteful number, since it uses less digits than its factorization.

8001125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 8001125 is about 2828.6259915372. The cubic root of 8001125 is about 200.0093745606.

Multiplying 8001125 by its product of nonzero digits (80), we get a square (640090000 = 25300²).

The spelling of 8001125 in words is "eight million, one thousand, one hundred twenty-five".