83055231 has 72 divisors (see below), whose sum is σ = 151197696. Its totient is φ = 42910560.

The previous prime is 83055227. The next prime is 83055241. The reversal of 83055231 is 13255038.

83055231 is a `hidden beast` number, since 83 + 0 + 552 + 31 = 666.

It is not a de Polignac number, because 83055231 - 2² = 83055227 is a prime.

It is a super-2 number, since 2×83055231² = 13796342792926722, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 83055195 and 83055204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83055241) 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 71 ways as a sum of consecutive naturals, for example, 1931496 + ... + 1931538.

It is an arithmetic number, because the mean of its divisors is an integer number (2099968).

Almost surely, 2^83055231 is an apocalyptic number.

83055231 is a deficient number, since it is larger than the sum of its proper divisors (68142465).

83055231 is a wasteful number, since it uses less digits than its factorization.

With its successor (83055232) it forms an eRAP, since the sums of their prime factors are consecutive (153 and 154).

83055231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 83055231 is about 9113.4642699689. The cubic root of 83055231 is about 436.3038013246.

The spelling of 83055231 in words is "eighty-three million, fifty-five thousand, two hundred thirty-one".