84059984761 has 9 divisors (see below), whose sum is σ = 84391516911. Its totient is φ = 83729753352.

The previous prime is 84059984759. The next prime is 84059984831. The reversal of 84059984761 is 16748995048.

The square root of 84059984761 is 289931.

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., 51931573225 + 32128411536 = 227885^2 + 179244^2 .

It is not a de Polignac number, because 84059984761 - 2¹ = 84059984759 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 84059984761.

It is not an unprimeable number, because it can be changed into a prime (84059984731) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 111043195 + ... + 111043951.

Almost surely, 2^84059984761 is an apocalyptic number.

84059984761 is the 289931-st square number.

84059984761 is the 144966-th centered octagonal number.

It is an amenable number.

84059984761 is a deficient number, since it is larger than the sum of its proper divisors (331532150).

84059984761 is an frugal number, since it uses more digits than its factorization.

84059984761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2280 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 61.

The spelling of 84059984761 in words is "eighty-four billion, fifty-nine million, nine hundred eighty-four thousand, seven hundred sixty-one".