86415 has 16 divisors (see below), whose sum is σ = 158208. Its totient is φ = 39456.

The previous prime is 86413. The next prime is 86423. The reversal of 86415 is 51468.

It is not a de Polignac number, because 86415 - 2¹ = 86413 is a prime.

86415 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 307 + ... + 516.

It is an arithmetic number, because the mean of its divisors is an integer number (9888).

2⁸⁶⁴¹⁵ is an apocalyptic number.

86415 is a deficient number, since it is larger than the sum of its proper divisors (71793).

86415 is a wasteful number, since it uses less digits than its factorization.

86415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838.

The product of its digits is 960, while the sum is 24.

The square root of 86415 is about 293.9642835448. The cubic root of 86415 is about 44.2109361909.

It can be divided in two parts, 8641 and 5, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 86415 in words is "eighty-six thousand, four hundred fifteen".