86193 has 12 divisors (see below), whose sum is σ = 127348. Its totient is φ = 56160.

The previous prime is 86183. The next prime is 86197. The reversal of 86193 is 39168.

86193 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in 2 ways, for example, as 11664 + 74529 = 108^2 + 273^2 .

It is not a de Polignac number, because 86193 - 2⁵ = 86161 is a prime.

It is a Duffinian number.

86193 is an undulating number in base 13.

It is not an unprimeable number, because it can be changed into a prime (86197) 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 11 ways as a sum of consecutive naturals, for example, 471 + ... + 627.

2⁸⁶¹⁹³ is an apocalyptic number.

It is an amenable number.

86193 is a deficient number, since it is larger than the sum of its proper divisors (41155).

86193 is a wasteful number, since it uses less digits than its factorization.

86193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 221 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 86193 is about 293.5864438287. The cubic root of 86193 is about 44.1730444490.

The spelling of 86193 in words is "eighty-six thousand, one hundred ninety-three".