82173391067232 has 120 divisors (see below), whose sum is σ = 254389116504600. Its totient is φ = 25949491900416.

The previous prime is 82173391067231. The next prime is 82173391067233. The reversal of 82173391067232 is 23276019337128.

It is a happy number.

82173391067232 is a `hidden beast` number, since 8 + 2 + 1 + 7 + 339 + 10 + 67 + 232 = 666.

It is an interprime number because it is at equal distance from previous prime (82173391067231) and next prime (82173391067233).

It is a super-3 number, since 3×82173391067232³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82173391067231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 834232257 + ... + 834330752.

It is an arithmetic number, because the mean of its divisors is an integer number (2119909304205).

Almost surely, 2^{82173391067232} is an apocalyptic number.

It is an amenable number.

82173391067232 is an abundant number, since it is smaller than the sum of its proper divisors (172215725437368).

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

82173391067232 is a wasteful number, since it uses less digits than its factorization.

82173391067232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668563050 (or 1668563033 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 82173391067232 in words is "eighty-two trillion, one hundred seventy-three billion, three hundred ninety-one million, sixty-seven thousand, two hundred thirty-two".