9082000 has 80 divisors (see below), whose sum is σ = 23212800. Its totient is φ = 3427200.

The previous prime is 9081991. The next prime is 9082049. The reversal of 9082000 is 2809.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a nialpdrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37881 + ... + 38119.

It is an arithmetic number, because the mean of its divisors is an integer number (290160).

Almost surely, 2^9082000 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 9082000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11606400).

9082000 is an abundant number, since it is smaller than the sum of its proper divisors (14130800).

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

9082000 is a wasteful number, since it uses less digits than its factorization.

9082000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 9082000 is about 3013.6356780474. The cubic root of 9082000 is about 208.6382025342.

Adding to 9082000 its reverse (2809), we get a palindrome (9084809).

The spelling of 9082000 in words is "nine million, eighty-two thousand".