86783857281 has 81 divisors (see below), whose sum is σ = 140798422947. Its totient is φ = 51470939520.

The previous prime is 86783857273. The next prime is 86783857289. The reversal of 86783857281 is 18275838768.

The square root of 86783857281 is 294591.

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 (86783857273) and next prime (86783857289).

It can be written as a sum of positive squares in only one way, i.e., 1529201025 + 85254656256 = 39105^2 + 291984^2 .

It is not a de Polignac number, because 86783857281 - 2³ = 86783857273 is a prime.

It is a super-2 number, since 2×86783857281² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86783857289) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 767998681 + ... + 767998793.

Almost surely, 2^86783857281 is an apocalyptic number.

86783857281 is the 294591-st square number.

86783857281 is the 147296-th centered octagonal number.

It is an amenable number.

86783857281 is a deficient number, since it is larger than the sum of its proper divisors (54014565666).

86783857281 is a wasteful number, since it uses less digits than its factorization.

86783857281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 206 counting only the distinct ones).

The product of its digits is 36126720, while the sum is 63.

The spelling of 86783857281 in words is "eighty-six billion, seven hundred eighty-three million, eight hundred fifty-seven thousand, two hundred eighty-one".