84167174987289 has 45 divisors (see below), whose sum is σ = 125987670317487. Its totient is φ = 55997230367376.

The previous prime is 84167174987267. The next prime is 84167174987303. The reversal of 84167174987289 is 98278947176148.

The square root of 84167174987289 is 9174267.

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

84167174987289 is a `hidden beast` number, since 8 + 4 + 167 + 174 + 9 + 8 + 7 + 289 = 666.

It can be written as a sum of positive squares in only one way, i.e., 40814273846025 + 43352901141264 = 6388605^2 + 6584292^2 .

It is not a de Polignac number, because 84167174987289 - 2²¹ = 84167172890137 is a prime.

It is a super-2 number, since 2×84167174987289² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (84167174987219) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 65807016552 + ... + 65807017830.

Almost surely, 2^{84167174987289} is an apocalyptic number.

84167174987289 is the 9174267-th square number.

84167174987289 is the 4587134-th centered octagonal number.

It is an amenable number.

84167174987289 is a deficient number, since it is larger than the sum of its proper divisors (41820495330198).

84167174987289 is an frugal number, since it uses more digits than its factorization.

84167174987289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4164 (or 2079 counting only the distinct ones).

The product of its digits is 2731180032, while the sum is 81.

84167174987289 divided by its sum of digits (81) gives a square (1039100925769 = 1019363²).

The spelling of 84167174987289 in words is "eighty-four trillion, one hundred sixty-seven billion, one hundred seventy-four million, nine hundred eighty-seven thousand, two hundred eighty-nine".