8201500 has 48 divisors (see below), whose sum is σ = 18345600. Its totient is φ = 3201600.

The previous prime is 8201489. The next prime is 8201507. The reversal of 8201500 is 51028.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8201507) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23326 + ... + 23674.

It is an arithmetic number, because the mean of its divisors is an integer number (382200).

Almost surely, 2^8201500 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 8201500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9172800).

8201500 is an abundant number, since it is smaller than the sum of its proper divisors (10144100).

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

8201500 is a wasteful number, since it uses less digits than its factorization.

8201500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 8201500 is about 2863.8261120396. The cubic root of 8201500 is about 201.6652626848.

Adding to 8201500 its reverse (51028), we get a palindrome (8252528).

The spelling of 8201500 in words is "eight million, two hundred one thousand, five hundred".