86093441 has 12 divisors (see below), whose sum is σ = 100684800. Its totient is φ = 73400040.

The previous prime is 86093369. The next prime is 86093443. The reversal of 86093441 is 14439068.

It is not a de Polignac number, because 86093441 - 2¹⁰ = 86092417 is a prime.

It is a Duffinian number.

It is a plaindrome in base 3 and base 9.

It is not an unprimeable number, because it can be changed into a prime (86093443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4760 + ... + 13958.

It is an arithmetic number, because the mean of its divisors is an integer number (8390400).

Almost surely, 2^86093441 is an apocalyptic number.

It is an amenable number.

86093441 is a deficient number, since it is larger than the sum of its proper divisors (14591359).

86093441 is a wasteful number, since it uses less digits than its factorization.

86093441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9404 (or 9397 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 86093441 is about 9278.6551288428. The cubic root of 86093441 is about 441.5603023486.

The spelling of 86093441 in words is "eighty-six million, ninety-three thousand, four hundred forty-one".