8417125 has 24 divisors (see below), whose sum is σ = 11206728. Its totient is φ = 6310400.

The previous prime is 8417081. The next prime is 8417131. The reversal of 8417125 is 5217148.

It can be written as a sum of positive squares in 12 ways, for example, as 4848804 + 3568321 = 2202^2 + 1889^2 .

It is not a de Polignac number, because 8417125 - 2¹⁵ = 8384357 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8417093 and 8417102.

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 23 ways as a sum of consecutive naturals, for example, 36009 + ... + 36241.

It is an arithmetic number, because the mean of its divisors is an integer number (466947).

Almost surely, 2^8417125 is an apocalyptic number.

8417125 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

8417125 is a deficient number, since it is larger than the sum of its proper divisors (2789603).

8417125 is a wasteful number, since it uses less digits than its factorization.

8417125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 255 counting only the distinct ones).

The product of its digits is 2240, while the sum is 28.

The square root of 8417125 is about 2901.2281881989. The cubic root of 8417125 is about 203.4173187650.

The spelling of 8417125 in words is "eight million, four hundred seventeen thousand, one hundred twenty-five".