8252000 has 48 divisors (see below), whose sum is σ = 20284992. Its totient is φ = 3299200.

The previous prime is 8251951. The next prime is 8252017. The reversal of 8252000 is 2528.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 8252000.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2969 + ... + 5031.

It is an arithmetic number, because the mean of its divisors is an integer number (422604).

Almost surely, 2^8252000 is an apocalyptic number.

8252000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10142496).

8252000 is an abundant number, since it is smaller than the sum of its proper divisors (12032992).

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

8252000 is a wasteful number, since it uses less digits than its factorization.

8252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 8252000 is about 2872.6294574832. The cubic root of 8252000 is about 202.0783279543.

Adding to 8252000 its reverse (2528), we get a palindrome (8254528).

The spelling of 8252000 in words is "eight million, two hundred fifty-two thousand".