82973881 has 3 divisors (see below), whose sum is σ = 82982991. Its totient is φ = 82964772.

The previous prime is 82973879. The next prime is 82973909. The reversal of 82973881 is 18837928.

The square root of 82973881 is 9109.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 9357481 + 73616400 = 3059^2 + 8580^2 .

It is not a de Polignac number, because 82973881 - 2¹ = 82973879 is a prime.

It is a super-4 number, since 4×82973881⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82973801) 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 2 ways as a sum of consecutive naturals, for example, 4555 + ... + 13663.

It is an arithmetic number, because the mean of its divisors is an integer number (27660997).

Almost surely, 2^82973881 is an apocalyptic number.

82973881 is the 9109-th square number.

82973881 is the 4555-th centered octagonal number.

It is an amenable number.

82973881 is a deficient number, since it is larger than the sum of its proper divisors (9110).

82973881 is an frugal number, since it uses more digits than its factorization.

82973881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18218 (or 9109 counting only the distinct ones).

The product of its digits is 193536, while the sum is 46.

The cubic root of 82973881 is about 436.1613061507.

The spelling of 82973881 in words is "eighty-two million, nine hundred seventy-three thousand, eight hundred eighty-one".