86835713041 has 81 divisors (see below), whose sum is σ = 114964523163. Its totient is φ = 65348015040.

The previous prime is 86835713011. The next prime is 86835713059. The reversal of 86835713041 is 14031753868.

The square root of 86835713041 is 294679.

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., 16674298641 + 70161414400 = 129129^2 + 264880^2 .

It is not a de Polignac number, because 86835713041 - 2²³ = 86827324433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 86835712982 and 86835713000.

It is not an unprimeable number, because it can be changed into a prime (86835713011) 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 80 ways as a sum of consecutive naturals, for example, 975682125 + ... + 975682213.

Almost surely, 2^86835713041 is an apocalyptic number.

86835713041 is the 294679-th square number.

86835713041 is the 147340-th centered octagonal number.

It is an amenable number.

86835713041 is a deficient number, since it is larger than the sum of its proper divisors (28128810122).

86835713041 is an equidigital number, since it uses as much as digits as its factorization.

86835713041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 86835713041 in words is "eighty-six billion, eight hundred thirty-five million, seven hundred thirteen thousand, forty-one".