83985127 has 8 divisors (see below), whose sum is σ = 85188096. Its totient is φ = 82786872.

The previous prime is 83985101. The next prime is 83985163. The reversal of 83985127 is 72158938.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 83985127 - 2²³ = 75596519 is a prime.

It is a super-2 number, since 2×83985127² = 14107003114412258, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83985427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49548 + ... + 51214.

It is an arithmetic number, because the mean of its divisors is an integer number (10648512).

Almost surely, 2^83985127 is an apocalyptic number.

83985127 is a deficient number, since it is larger than the sum of its proper divisors (1202969).

83985127 is a wasteful number, since it uses less digits than its factorization.

83985127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2357.

The product of its digits is 120960, while the sum is 43.

The square root of 83985127 is about 9164.3399653221. The cubic root of 83985127 is about 437.9260646107.

The spelling of 83985127 in words is "eighty-three million, nine hundred eighty-five thousand, one hundred twenty-seven".