83361 has 8 divisors (see below), whose sum is σ = 114304. Its totient is φ = 54000.

The previous prime is 83357. The next prime is 83383. The reversal of 83361 is 16338.

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

It is not a de Polignac number, because 83361 - 2² = 83357 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (83311) 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 7 ways as a sum of consecutive naturals, for example, 265 + ... + 486.

It is an arithmetic number, because the mean of its divisors is an integer number (14288).

2⁸³³⁶¹ is an apocalyptic number.

It is an amenable number.

83361 is a deficient number, since it is larger than the sum of its proper divisors (30943).

83361 is a wasteful number, since it uses less digits than its factorization.

83361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791.

The product of its digits is 432, while the sum is 21.

The square root of 83361 is about 288.7230506904. The cubic root of 83361 is about 43.6838565139.

Adding to 83361 its reverse (16338), we get a palindrome (99699).

It can be divided in two parts, 83 and 361, that added together give a palindrome (444).

The spelling of 83361 in words is "eighty-three thousand, three hundred sixty-one".