83101272 has 32 divisors (see below), whose sum is σ = 208051200. Its totient is φ = 27660704.

The previous prime is 83101267. The next prime is 83101279. The reversal of 83101272 is 27210138.

It is a super-3 number, since 3×83101272³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83101279) 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, 18073 + ... + 22199.

It is an arithmetic number, because the mean of its divisors is an integer number (6501600).

Almost surely, 2^83101272 is an apocalyptic number.

It is an amenable number.

83101272 is an abundant number, since it is smaller than the sum of its proper divisors (124949928).

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

83101272 is a wasteful number, since it uses less digits than its factorization.

83101272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4975 (or 4971 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 83101272 is about 9115.9899078487. The cubic root of 83101272 is about 436.3844069343.

The spelling of 83101272 in words is "eighty-three million, one hundred one thousand, two hundred seventy-two".