86881041 has 27 divisors (see below), whose sum is σ = 136461819. Its totient is φ = 53241552.

The previous prime is 86881001. The next prime is 86881063. The reversal of 86881041 is 14018868.

The square root of 86881041 is 9321.

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., 12852225 + 74028816 = 3585^2 + 8604^2 .

It is not a de Polignac number, because 86881041 - 2⁹ = 86880529 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 86880987 and 86881005.

It is not an unprimeable number, because it can be changed into a prime (86881001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 363400 + ... + 363638.

Almost surely, 2^86881041 is an apocalyptic number.

86881041 is the 9321-st square number.

86881041 is the 4661-st centered octagonal number.

It is an amenable number.

86881041 is a deficient number, since it is larger than the sum of its proper divisors (49580778).

86881041 is a wasteful number, since it uses less digits than its factorization.

86881041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The cubic root of 86881041 is about 442.9027110486.

Multiplying 86881041 by its sum of digits (36), we get a square (3127717476 = 55926²).

The spelling of 86881041 in words is "eighty-six million, eight hundred eighty-one thousand, forty-one".