8252200 has 96 divisors (see below), whose sum is σ = 21784320. Its totient is φ = 2904000.

The previous prime is 8252197. The next prime is 8252203. The reversal of 8252200 is 22528.

It is an interprime number because it is at equal distance from previous prime (8252197) and next prime (8252203).

It is not an unprimeable number, because it can be changed into a prime (8252203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266185 + ... + 266215.

It is an arithmetic number, because the mean of its divisors is an integer number (226920).

Almost surely, 2^8252200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8252200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10892160).

8252200 is an abundant number, since it is smaller than the sum of its proper divisors (13532120).

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

8252200 is a wasteful number, since it uses less digits than its factorization.

8252200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 8252200 is about 2872.6642685841. The cubic root of 8252200 is about 202.0799605016.

Adding to 8252200 its reverse (22528), we get a palindrome (8274728).

It can be divided in two parts, 825 and 2200, that added together give a square (3025 = 55²).

The spelling of 8252200 in words is "eight million, two hundred fifty-two thousand, two hundred".