83738120 has 16 divisors (see below), whose sum is σ = 188410860. Its totient is φ = 33495232.

The previous prime is 83738089. The next prime is 83738129. The reversal of 83738120 is 2183738.

It can be written as a sum of positive squares in 2 ways, for example, as 83649316 + 88804 = 9146^2 + 298^2 .

It is a super-3 number, since 3×83738120³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (83738129) 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, 1046687 + ... + 1046766.

Almost surely, 2^83738120 is an apocalyptic number.

It is an amenable number.

83738120 is an abundant number, since it is smaller than the sum of its proper divisors (104672740).

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

83738120 is a wasteful number, since it uses less digits than its factorization.

83738120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093464 (or 2093460 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 83738120 is about 9150.8535121048. The cubic root of 83738120 is about 437.4963177921.

The spelling of 83738120 in words is "eighty-three million, seven hundred thirty-eight thousand, one hundred twenty".