82362000 has 320 divisors, whose sum is σ = 317551104. Its totient is φ = 17971200.

The previous prime is 82361999. The next prime is 82362019. The reversal of 82362000 is 26328.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1553974 + ... + 1554026.

Almost surely, 2^82362000 is an apocalyptic number.

82362000 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 82362000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158775552).

82362000 is an abundant number, since it is smaller than the sum of its proper divisors (235189104).

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

82362000 is a wasteful number, since it uses less digits than its factorization.

82362000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 82362000 is about 9075.3512328725. The cubic root of 82362000 is about 435.0865199815.

Adding to 82362000 its reverse (26328), we get a palindrome (82388328).

The spelling of 82362000 in words is "eighty-two million, three hundred sixty-two thousand".