84982161289 has 27 divisors (see below), whose sum is σ = 91448285607. Its totient is φ = 78961460688.

The previous prime is 84982161283. The next prime is 84982161293. The reversal of 84982161289 is 98216128948.

The square root of 84982161289 is 291517.

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

It can be written as a sum of positive squares in only one way, i.e., 79148256889 + 5833904400 = 281333^2 + 76380^2 .

It is not a de Polignac number, because 84982161289 - 2⁹ = 84982160777 is a prime.

It is a super-2 number, since 2×84982161289² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (84982161283) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 371101027 + ... + 371101255.

It is an arithmetic number, because the mean of its divisors is an integer number (3386973541).

Almost surely, 2^84982161289 is an apocalyptic number.

84982161289 is the 291517-th square number.

84982161289 is the 145759-th centered octagonal number.

It is an amenable number.

84982161289 is a deficient number, since it is larger than the sum of its proper divisors (6466124318).

84982161289 is an frugal number, since it uses more digits than its factorization.

84982161289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 315 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 58.

The spelling of 84982161289 in words is "eighty-four billion, nine hundred eighty-two million, one hundred sixty-one thousand, two hundred eighty-nine".