83121300 has 54 divisors (see below), whose sum is σ = 260541918. Its totient is φ = 22165440.

The previous prime is 83121299. The next prime is 83121317. The reversal of 83121300 is 312138.

It can be written as a sum of positive squares in 3 ways, for example, as 8678916 + 74442384 = 2946^2 + 8628^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 45279 + ... + 47078.

Almost surely, 2^83121300 is an apocalyptic number.

It is an amenable number.

83121300 is an abundant number, since it is smaller than the sum of its proper divisors (177420618).

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

83121300 is a wasteful number, since it uses less digits than its factorization.

83121300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92377 (or 92367 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 83121300 is about 9117.0883510033. The cubic root of 83121300 is about 436.4194613711.

Adding to 83121300 its reverse (312138), we get a palindrome (83433438).

The spelling of 83121300 in words is "eighty-three million, one hundred twenty-one thousand, three hundred".