82124084329 has 9 divisors (see below), whose sum is σ = 95534431677. Its totient is φ = 70390352844.

The previous prime is 82124084281. The next prime is 82124084377. The reversal of 82124084329 is 92348042128.

It is a happy number.

The square root of 82124084329 is 286573.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (82124084281) and next prime (82124084377).

It is not a de Polignac number, because 82124084329 - 2⁷ = 82124084201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82124088329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1985542 + ... + 2026480.

It is an arithmetic number, because the mean of its divisors is an integer number (10614936853).

Almost surely, 2^82124084329 is an apocalyptic number.

82124084329 is the 286573-rd square number.

82124084329 is the 143287-th centered octagonal number.

It is an amenable number.

82124084329 is a deficient number, since it is larger than the sum of its proper divisors (13410347348).

82124084329 is an frugal number, since it uses more digits than its factorization.

82124084329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81892 (or 40946 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The spelling of 82124084329 in words is "eighty-two billion, one hundred twenty-four million, eighty-four thousand, three hundred twenty-nine".