8217825 has 48 divisors (see below), whose sum is σ = 16951296. Its totient is φ = 3412800.

The previous prime is 8217793. The next prime is 8217827. The reversal of 8217825 is 5287128.

It is not a de Polignac number, because 8217825 - 2⁵ = 8217793 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (8217827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5064 + ... + 6486.

It is an arithmetic number, because the mean of its divisors is an integer number (353152).

Almost surely, 2^8217825 is an apocalyptic number.

It is an amenable number.

8217825 is an abundant number, since it is smaller than the sum of its proper divisors (8733471).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8217825 is a wasteful number, since it uses less digits than its factorization.

8217825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1449 counting only the distinct ones).

The product of its digits is 8960, while the sum is 33.

The square root of 8217825 is about 2866.6749030889. The cubic root of 8217825 is about 201.7989782032.

It can be divided in two parts, 821 and 7825, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 8217825 in words is "eight million, two hundred seventeen thousand, eight hundred twenty-five".