82983131 has 12 divisors (see below), whose sum is σ = 104244336. Its totient is φ = 64661520.

The previous prime is 82983091. The next prime is 82983133. The reversal of 82983131 is 13138928.

It is not a de Polignac number, because 82983131 - 2⁶ = 82983067 is a prime.

It is a super-2 number, since 2×82983131² = 13772400061126322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82983091 and 82983100.

It is not an unprimeable number, because it can be changed into a prime (82983133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48140 + ... + 49833.

It is an arithmetic number, because the mean of its divisors is an integer number (8687028).

Almost surely, 2^82983131 is an apocalyptic number.

82983131 is a deficient number, since it is larger than the sum of its proper divisors (21261205).

82983131 is a wasteful number, since it uses less digits than its factorization.

82983131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98002 (or 97991 counting only the distinct ones).

The product of its digits is 10368, while the sum is 35.

The square root of 82983131 is about 9109.5077254482. The cubic root of 82983131 is about 436.1775134283.

The spelling of 82983131 in words is "eighty-two million, nine hundred eighty-three thousand, one hundred thirty-one".