86830998241 has 27 divisors (see below), whose sum is σ = 99316439289. Its totient is φ = 75869531712.

The previous prime is 86830998211. The next prime is 86830998271. The reversal of 86830998241 is 14289903868.

The square root of 86830998241 is 294671.

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

It is an interprime number because it is at equal distance from previous prime (86830998211) and next prime (86830998271).

It can be written as a sum of positive squares in 4 ways, for example, as 11765957841 + 75065040400 = 108471^2 + 273980^2 .

It is not a de Polignac number, because 86830998241 - 2¹¹ = 86830996193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86830998211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 72783141 + ... + 72784333.

Almost surely, 2^86830998241 is an apocalyptic number.

86830998241 is the 294671-st square number.

86830998241 is the 147336-th centered octagonal number.

It is an amenable number.

86830998241 is a deficient number, since it is larger than the sum of its proper divisors (12485441048).

86830998241 is an equidigital number, since it uses as much as digits as its factorization.

86830998241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 58.

The spelling of 86830998241 in words is "eighty-six billion, eight hundred thirty million, nine hundred ninety-eight thousand, two hundred forty-one".