83351 has 4 divisors (see below), whose sum is σ = 88272. Its totient is φ = 78432.

The previous prime is 83341. The next prime is 83357. The reversal of 83351 is 15338.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 15338 = 2 ⋅7669.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-83351 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83357) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2435 + ... + 2468.

It is an arithmetic number, because the mean of its divisors is an integer number (22068).

2⁸³³⁵¹ is an apocalyptic number.

83351 is a deficient number, since it is larger than the sum of its proper divisors (4921).

83351 is a wasteful number, since it uses less digits than its factorization.

83351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4920.

The product of its digits is 360, while the sum is 20.

The square root of 83351 is about 288.7057325375. The cubic root of 83351 is about 43.6821096697.

Adding to 83351 its reverse (15338), we get a palindrome (98689).

It can be divided in two parts, 83 and 351, that added together give a palindrome (434).

The spelling of 83351 in words is "eighty-three thousand, three hundred fifty-one".