83305131 has 16 divisors (see below), whose sum is σ = 136706304. Its totient is φ = 43941024.

The previous prime is 83305097. The next prime is 83305133. The reversal of 83305131 is 13150338.

It is not a de Polignac number, because 83305131 - 2⁶ = 83305067 is a prime.

It is a super-2 number, since 2×83305131² = 13879489701854322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (83305133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152301 + ... + 152846.

It is an arithmetic number, because the mean of its divisors is an integer number (8544144).

Almost surely, 2^83305131 is an apocalyptic number.

83305131 is a deficient number, since it is larger than the sum of its proper divisors (53401173).

83305131 is a wasteful number, since it uses less digits than its factorization.

83305131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305170.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 83305131 is about 9127.1644556237. The cubic root of 83305131 is about 436.7409527936.

Adding to 83305131 its reverse (13150338), we get a palindrome (96455469).

It can be divided in two parts, 83305 and 131, that added together give a triangular number (83436 = T₄₀₈).

The spelling of 83305131 in words is "eighty-three million, three hundred five thousand, one hundred thirty-one".