82189492 has 72 divisors (see below), whose sum is σ = 191443392. Its totient is φ = 30117120.

The previous prime is 82189477. The next prime is 82189493. The reversal of 82189492 is 29498128.

It is a super-2 number, since 2×82189492² = 13510225190436128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82189493) 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 23 ways as a sum of consecutive naturals, for example, 56883 + ... + 58309.

It is an arithmetic number, because the mean of its divisors is an integer number (2658936).

Almost surely, 2^82189492 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 82189492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95721696).

82189492 is an abundant number, since it is smaller than the sum of its proper divisors (109253900).

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

82189492 is a wasteful number, since it uses less digits than its factorization.

82189492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1464 counting only the distinct ones).

The product of its digits is 82944, while the sum is 43.

The square root of 82189492 is about 9065.8420458334. The cubic root of 82189492 is about 434.7825433571.

The spelling of 82189492 in words is "eighty-two million, one hundred eighty-nine thousand, four hundred ninety-two".