86361 has 8 divisors (see below), whose sum is σ = 125664. Its totient is φ = 52320.

The previous prime is 86357. The next prime is 86369. The reversal of 86361 is 16368.

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

It is not a de Polignac number, because 86361 - 2² = 86357 is a prime.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (86369) 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, 1276 + ... + 1341.

It is an arithmetic number, because the mean of its divisors is an integer number (15708).

2⁸⁶³⁶¹ is an apocalyptic number.

It is an amenable number.

86361 is a deficient number, since it is larger than the sum of its proper divisors (39303).

86361 is a wasteful number, since it uses less digits than its factorization.

86361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2631.

The product of its digits is 864, while the sum is 24.

The square root of 86361 is about 293.8724212988. The cubic root of 86361 is about 44.2017252591.

The spelling of 86361 in words is "eighty-six thousand, three hundred sixty-one".