86257441 has 8 divisors (see below), whose sum is σ = 88862400. Its totient is φ = 83679792.

The previous prime is 86257417. The next prime is 86257459. The reversal of 86257441 is 14475268.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 86257441 - 2¹³ = 86249249 is a prime.

It is a super-2 number, since 2×86257441² = 14880692255736962, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 86257441.

It is not an unprimeable number, because it can be changed into a prime (86257411) 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 7 ways as a sum of consecutive naturals, for example, 325 + ... + 13138.

It is an arithmetic number, because the mean of its divisors is an integer number (11107800).

Almost surely, 2^86257441 is an apocalyptic number.

It is an amenable number.

86257441 is a deficient number, since it is larger than the sum of its proper divisors (2604959).

86257441 is a wasteful number, since it uses less digits than its factorization.

86257441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13655.

The product of its digits is 53760, while the sum is 37.

The square root of 86257441 is about 9287.4884118366. The cubic root of 86257441 is about 441.8405016123.

The spelling of 86257441 in words is "eighty-six million, two hundred fifty-seven thousand, four hundred forty-one".