8237125 has 32 divisors (see below), whose sum is σ = 11452896. Its totient is φ = 5875200.

The previous prime is 8237113. The next prime is 8237137. The reversal of 8237125 is 5217328.

It is an interprime number because it is at equal distance from previous prime (8237113) and next prime (8237137).

It can be written as a sum of positive squares in 16 ways, for example, as 5230369 + 3006756 = 2287^2 + 1734^2 .

It is not a de Polignac number, because 8237125 - 2¹⁷ = 8106053 is a prime.

8237125 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 8237093 and 8237102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60057 + ... + 60193.

It is an arithmetic number, because the mean of its divisors is an integer number (357903).

Almost surely, 2^8237125 is an apocalyptic number.

It is an amenable number.

8237125 is a deficient number, since it is larger than the sum of its proper divisors (3215771).

8237125 is a wasteful number, since it uses less digits than its factorization.

8237125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 192 counting only the distinct ones).

The product of its digits is 3360, while the sum is 28.

The square root of 8237125 is about 2870.0391983386. The cubic root of 8237125 is about 201.9568332425.

The spelling of 8237125 in words is "eight million, two hundred thirty-seven thousand, one hundred twenty-five".