83121 has 8 divisors (see below), whose sum is σ = 112320. Its totient is φ = 54672.

The previous prime is 83117. The next prime is 83137. The reversal of 83121 is 12138.

It is a happy number.

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

It is not a de Polignac number, because 83121 - 2² = 83117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 83121.

It is not an unprimeable number, because it can be changed into a prime (83101) 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, 175 + ... + 443.

It is an arithmetic number, because the mean of its divisors is an integer number (14040).

2⁸³¹²¹ is an apocalyptic number.

It is an amenable number.

83121 is a deficient number, since it is larger than the sum of its proper divisors (29199).

83121 is a wasteful number, since it uses less digits than its factorization.

83121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375.

The product of its digits is 48, while the sum is 15.

The square root of 83121 is about 288.3071279036. The cubic root of 83121 is about 43.6418936331.

Adding to 83121 its reverse (12138), we get a palindrome (95259).

The spelling of 83121 in words is "eighty-three thousand, one hundred twenty-one".