86813 has 2 divisors, whose sum is σ = 86814. Its totient is φ = 86812.

The previous prime is 86783. The next prime is 86837. The reversal of 86813 is 31868.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80089 + 6724 = 283^2 + 82^2 .

It is a cyclic number.

It is not a de Polignac number, because 86813 - 2¹⁴ = 70429 is a prime.

It is a plaindrome in base 14.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (86843) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43406 + 43407.

It is an arithmetic number, because the mean of its divisors is an integer number (43407).

2⁸⁶⁸¹³ is an apocalyptic number.

It is an amenable number.

86813 is a deficient number, since it is larger than the sum of its proper divisors (1).

86813 is an equidigital number, since it uses as much as digits as its factorization.

86813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1152, while the sum is 26.

The square root of 86813 is about 294.6404588647. The cubic root of 86813 is about 44.2787060909.

Subtracting from 86813 its reverse (31868), we obtain a palindrome (54945).

The spelling of 86813 in words is "eighty-six thousand, eight hundred thirteen".