8133000 has 64 divisors (see below), whose sum is σ = 25384320. Its totient is φ = 2168000.

The previous prime is 8132989. The next prime is 8133017. The reversal of 8133000 is 3318.

It is a super-2 number, since 2×8133000² = 132291378000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 1645 + ... + 4355.

It is an arithmetic number, because the mean of its divisors is an integer number (396630).

Almost surely, 2^8133000 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 8133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12692160).

8133000 is an abundant number, since it is smaller than the sum of its proper divisors (17251320).

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

8133000 is a wasteful number, since it uses less digits than its factorization.

8133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2735 (or 2721 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 8133000 is about 2851.8415103228. The cubic root of 8133000 is about 201.1022474266.

Adding to 8133000 its reverse (3318), we get a palindrome (8136318).

The spelling of 8133000 in words is "eight million, one hundred thirty-three thousand".