83742831 has 24 divisors (see below), whose sum is σ = 123954480. Its totient is φ = 54464256.

The previous prime is 83742829. The next prime is 83742851. The reversal of 83742831 is 13824738.

83742831 is a `hidden beast` number, since 8 + 374 + 283 + 1 = 666.

It is not a de Polignac number, because 83742831 - 2¹ = 83742829 is a prime.

It is a super-2 number, since 2×83742831² = 14025723487789122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83742851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67525 + ... + 68753.

It is an arithmetic number, because the mean of its divisors is an integer number (5164770).

Almost surely, 2^83742831 is an apocalyptic number.

83742831 is a deficient number, since it is larger than the sum of its proper divisors (40211649).

83742831 is a wasteful number, since it uses less digits than its factorization.

83742831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1412 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 83742831 is about 9151.1109161675. The cubic root of 83742831 is about 437.5045219669.

The spelling of 83742831 in words is "eighty-three million, seven hundred forty-two thousand, eight hundred thirty-one".