82023000 has 128 divisors (see below), whose sum is σ = 269568000. Its totient is φ = 20707200.

The previous prime is 82022999. The next prime is 82023017. The reversal of 82023000 is 32028.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56281 + ... + 57719.

It is an arithmetic number, because the mean of its divisors is an integer number (2106000).

Almost surely, 2^82023000 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 82023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134784000).

82023000 is an abundant number, since it is smaller than the sum of its proper divisors (187545000).

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

82023000 is a wasteful number, since it uses less digits than its factorization.

82023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 82023000 is about 9056.6550116475. The cubic root of 82023000 is about 434.4887639156.

Adding to 82023000 its reverse (32028), we get a palindrome (82055028).

The spelling of 82023000 in words is "eighty-two million, twenty-three thousand".