86349 has 8 divisors (see below), whose sum is σ = 116640. Its totient is φ = 56816.

The previous prime is 86341. The next prime is 86351. The reversal of 86349 is 94368.

86349 = T₁₃₄ + T₁₃₅ + ... + T₁₄₂.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 86349 - 2³ = 86341 is a prime.

It is a super-2 number, since 2×86349² = 14912299602, which contains 22 as substring.

It is a plaindrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 86349.

It is not an unprimeable number, because it can be changed into a prime (86341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187 + ... + 455.

It is an arithmetic number, because the mean of its divisors is an integer number (14580).

2⁸⁶³⁴⁹ is an apocalyptic number.

It is an amenable number.

86349 is a deficient number, since it is larger than the sum of its proper divisors (30291).

86349 is a wasteful number, since it uses less digits than its factorization.

86349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379.

The product of its digits is 5184, while the sum is 30.

The square root of 86349 is about 293.8520035664. The cubic root of 86349 is about 44.1996778639.

It can be divided in two parts, 86 and 349, that added together give a triangular number (435 = T₂₉).

The spelling of 86349 in words is "eighty-six thousand, three hundred forty-nine".