82187544933 has 12 divisors (see below), whose sum is σ = 127847292300. Its totient is φ = 50576950656.

The previous prime is 82187544913. The next prime is 82187544953. The reversal of 82187544933 is 33944578128.

It is a happy number.

82187544933 is a `hidden beast` number, since 8 + 2 + 1 + 8 + 7 + 544 + 93 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (82187544913) and next prime (82187544953).

It can be written as a sum of positive squares in 2 ways, for example, as 20892678849 + 61294866084 = 144543^2 + 247578^2 .

It is not a de Polignac number, because 82187544933 - 2¹⁸ = 82187282789 is a prime.

It is a super-2 number, since 2×82187544933² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 82187544933.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82187544913) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 351228708 + ... + 351228941.

It is an arithmetic number, because the mean of its divisors is an integer number (10653941025).

Almost surely, 2^82187544933 is an apocalyptic number.

It is an amenable number.

82187544933 is a deficient number, since it is larger than the sum of its proper divisors (45659747367).

82187544933 is a wasteful number, since it uses less digits than its factorization.

82187544933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702457668 (or 702457665 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 82187544933 in words is "eighty-two billion, one hundred eighty-seven million, five hundred forty-four thousand, nine hundred thirty-three".