83322000 has 160 divisors (see below), whose sum is σ = 298671360. Its totient is φ = 22204800.

The previous prime is 83321993. The next prime is 83322007. The reversal of 83322000 is 22338.

It is an interprime number because it is at equal distance from previous prime (83321993) and next prime (83322007).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (83322007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 53229 + ... + 54771.

It is an arithmetic number, because the mean of its divisors is an integer number (1866696).

Almost surely, 2^83322000 is an apocalyptic number.

83322000 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 83322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149335680).

83322000 is an abundant number, since it is smaller than the sum of its proper divisors (215349360).

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

83322000 is a wasteful number, since it uses less digits than its factorization.

83322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 83322000 is about 9128.0885184139. The cubic root of 83322000 is about 436.7704303132.

Adding to 83322000 its reverse (22338), we get a palindrome (83344338).

The spelling of 83322000 in words is "eighty-three million, three hundred twenty-two thousand".