82019000 has 64 divisors (see below), whose sum is σ = 219360960. Its totient is φ = 28118400.

The previous prime is 82018967. The next prime is 82019057. The reversal of 82019000 is 91028.

It is a super-2 number, since 2×82019000² = 13454232722000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1142 + ... + 12858.

It is an arithmetic number, because the mean of its divisors is an integer number (3427515).

Almost surely, 2^82019000 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 82019000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109680480).

82019000 is an abundant number, since it is smaller than the sum of its proper divisors (137341960).

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

82019000 is a wasteful number, since it uses less digits than its factorization.

82019000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11745 (or 11731 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 82019000 is about 9056.4341768712. The cubic root of 82019000 is about 434.4817009239.

The spelling of 82019000 in words is "eighty-two million, nineteen thousand".