86536 has 16 divisors (see below), whose sum is σ = 168300. Its totient is φ = 41664.

The previous prime is 86533. The next prime is 86539. The reversal of 86536 is 63568.

86536 = T₂₃ + T₂₄ + ... + T₈₀.

It is an interprime number because it is at equal distance from previous prime (86533) and next prime (86539).

It can be written as a sum of positive squares in 2 ways, for example, as 86436 + 100 = 294^2 + 10^2 .

It is not an unprimeable number, because it can be changed into a prime (86531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 46 + ... + 418.

2⁸⁶⁵³⁶ is an apocalyptic number.

It is an amenable number.

86536 is a deficient number, since it is larger than the sum of its proper divisors (81764).

86536 is a wasteful number, since it uses less digits than its factorization.

86536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 404 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The square root of 86536 is about 294.1700188666. The cubic root of 86536 is about 44.2315615776.

The spelling of 86536 in words is "eighty-six thousand, five hundred thirty-six".