82306406231 has 8 divisors (see below), whose sum is σ = 97308066720. Its totient is φ = 68115646368.

The previous prime is 82306406137. The next prime is 82306406249. The reversal of 82306406231 is 13260460328.

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

It is not a de Polignac number, because 82306406231 - 2³⁰ = 81232664407 is a prime.

It is a super-2 number, since 2×82306406231² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82306406191 and 82306406200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82306406531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 202724936 + ... + 202725341.

It is an arithmetic number, because the mean of its divisors is an integer number (12163508340).

Almost surely, 2^82306406231 is an apocalyptic number.

82306406231 is a deficient number, since it is larger than the sum of its proper divisors (15001660489).

82306406231 is a wasteful number, since it uses less digits than its factorization.

82306406231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405450313.

The product of its (nonzero) digits is 41472, while the sum is 35.

Adding to 82306406231 its reverse (13260460328), we get a palindrome (95566866559).

The spelling of 82306406231 in words is "eighty-two billion, three hundred six million, four hundred six thousand, two hundred thirty-one".