83400 has 48 divisors (see below), whose sum is σ = 260400. Its totient is φ = 22080.

The previous prime is 83399. The next prime is 83401. The reversal of 83400 is 438.

83400 = T₉₄ + T₉₅ + ... + T₁₀₉.

It is an interprime number because it is at equal distance from previous prime (83399) and next prime (83401).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 83400.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 83400.

It is not an unprimeable number, because it can be changed into a prime (83401) 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 11 ways as a sum of consecutive naturals, for example, 531 + ... + 669.

It is an arithmetic number, because the mean of its divisors is an integer number (5425).

2⁸³⁴⁰⁰ 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 83400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130200).

83400 is an abundant number, since it is smaller than the sum of its proper divisors (177000).

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

83400 is a wasteful number, since it uses less digits than its factorization.

83400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 83400 is about 288.7905815639. The cubic root of 83400 is about 43.6906678717.

Adding to 83400 its reverse (438), we get a palindrome (83838).

The spelling of 83400 in words is "eighty-three thousand, four hundred".