82105731 has 20 divisors (see below), whose sum is σ = 122984400. Its totient is φ = 54588816.

The previous prime is 82105721. The next prime is 82105759. The reversal of 82105731 is 13750128.

82105731 is a `hidden beast` number, since 82 + 10 + 573 + 1 = 666.

It is not a de Polignac number, because 82105731 - 2⁷ = 82105603 is a prime.

It is a super-2 number, since 2×82105731² = 13482702126088722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 82105695 and 82105704.

It is not an unprimeable number, because it can be changed into a prime (82105721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34405 + ... + 36713.

It is an arithmetic number, because the mean of its divisors is an integer number (6149220).

Almost surely, 2^82105731 is an apocalyptic number.

82105731 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

82105731 is a deficient number, since it is larger than the sum of its proper divisors (40878669).

82105731 is a wasteful number, since it uses less digits than its factorization.

82105731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2760 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 82105731 is about 9061.2212753028. The cubic root of 82105731 is about 434.6347945467.

Adding to 82105731 its reverse (13750128), we get a palindrome (95855859).

The spelling of 82105731 in words is "eighty-two million, one hundred five thousand, seven hundred thirty-one".