86241 has 16 divisors (see below), whose sum is σ = 129600. Its totient is φ = 50688.

The previous prime is 86239. The next prime is 86243. The reversal of 86241 is 14268.

It is an interprime number because it is at equal distance from previous prime (86239) and next prime (86243).

It is not a de Polignac number, because 86241 - 2¹ = 86239 is a prime.

86241 is a Rhonda number in base 15.

Its product of digits (384) is a multiple of the sum of its prime divisors (128).

It is not an unprimeable number, because it can be changed into a prime (86243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 925 + ... + 1013.

It is an arithmetic number, because the mean of its divisors is an integer number (8100).

2⁸⁶²⁴¹ is an apocalyptic number.

It is an amenable number.

86241 is a deficient number, since it is larger than the sum of its proper divisors (43359).

86241 is a wasteful number, since it uses less digits than its factorization.

86241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128.

The product of its digits is 384, while the sum is 21.

The square root of 86241 is about 293.6681800945. The cubic root of 86241 is about 44.1812427662.

It can be divided in two parts, 862 and 41, that added together give a triangular number (903 = T₄₂).

The spelling of 86241 in words is "eighty-six thousand, two hundred forty-one".