83420 has 24 divisors (see below), whose sum is σ = 181104. Its totient is φ = 32256.

The previous prime is 83417. The next prime is 83423. The reversal of 83420 is 2438.

It is an interprime number because it is at equal distance from previous prime (83417) and next prime (83423).

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83423) 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, 812 + ... + 908.

It is an arithmetic number, because the mean of its divisors is an integer number (7546).

2⁸³⁴²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90552).

83420 is an abundant number, since it is smaller than the sum of its proper divisors (97684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83420 is a wasteful number, since it uses less digits than its factorization.

83420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 83420 is about 288.8252066562. The cubic root of 83420 is about 43.6941600520.

Adding to 83420 its reverse (2438), we get a palindrome (85858).

The spelling of 83420 in words is "eighty-three thousand, four hundred twenty".