83135781 has 16 divisors (see below), whose sum is σ = 126494400. Its totient is φ = 53925264.

The previous prime is 83135753. The next prime is 83135783. The reversal of 83135781 is 18753138.

83135781 is a `hidden beast` number, since 83 + 1 + 3 + 578 + 1 = 666.

It is not a de Polignac number, because 83135781 - 2¹⁹ = 82611493 is a prime.

It is a super-3 number, since 3×83135781³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83135783) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 40611 + ... + 42608.

It is an arithmetic number, because the mean of its divisors is an integer number (7905900).

Almost surely, 2^83135781 is an apocalyptic number.

It is an amenable number.

83135781 is a deficient number, since it is larger than the sum of its proper divisors (43358619).

83135781 is a wasteful number, since it uses less digits than its factorization.

83135781 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83265 (or 83259 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 83135781 is about 9117.8824844368. The cubic root of 83135781 is about 436.4448035448. Note that the first 3 decimals are identical.

The spelling of 83135781 in words is "eighty-three million, one hundred thirty-five thousand, seven hundred eighty-one".