82243000 has 128 divisors (see below), whose sum is σ = 227635200. Its totient is φ = 27216000.

The previous prime is 82242983. The next prime is 82243003. The reversal of 82243000 is 34228.

It is a happy number.

It is a super-2 number, since 2×82243000² = 13527822098000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82243003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216811 + ... + 217189.

It is an arithmetic number, because the mean of its divisors is an integer number (1778400).

Almost surely, 2^82243000 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 82243000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113817600).

82243000 is an abundant number, since it is smaller than the sum of its proper divisors (145392200).

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

82243000 is a wasteful number, since it uses less digits than its factorization.

82243000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 82243000 is about 9068.7926429046. The cubic root of 82243000 is about 434.8768753574.

Adding to 82243000 its reverse (34228), we get a palindrome (82277228).

The spelling of 82243000 in words is "eighty-two million, two hundred forty-three thousand".