83137940 has 24 divisors (see below), whose sum is σ = 175484232. Its totient is φ = 33084800.

The previous prime is 83137933. The next prime is 83137969. The reversal of 83137940 is 4973138.

It can be written as a sum of positive squares in 4 ways, for example, as 19201924 + 63936016 = 4382^2 + 7996^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 83137940.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6611 + ... + 14490.

It is an arithmetic number, because the mean of its divisors is an integer number (7311843).

Almost surely, 2^83137940 is an apocalyptic number.

It is an amenable number.

83137940 is an abundant number, since it is smaller than the sum of its proper divisors (92346292).

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

83137940 is a wasteful number, since it uses less digits than its factorization.

83137940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21307 (or 21305 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 83137940 is about 9118.0008773853. Note that the first 3 decimals coincide. The cubic root of 83137940 is about 436.4485816058.

The spelling of 83137940 in words is "eighty-three million, one hundred thirty-seven thousand, nine hundred forty".