82006131 has 8 divisors (see below), whose sum is σ = 110176704. Its totient is φ = 54253160.

The previous prime is 82006103. The next prime is 82006139. The reversal of 82006131 is 13160028.

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

It is a cyclic number.

It is not a de Polignac number, because 82006131 - 2⁷ = 82006003 is a prime.

It is a super-2 number, since 2×82006131² = 13450011043178322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82006098 and 82006107.

It is not an unprimeable number, because it can be changed into a prime (82006139) 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 7 ways as a sum of consecutive naturals, for example, 103941 + ... + 104726.

It is an arithmetic number, because the mean of its divisors is an integer number (13772088).

Almost surely, 2^82006131 is an apocalyptic number.

82006131 is a deficient number, since it is larger than the sum of its proper divisors (28170573).

82006131 is a wasteful number, since it uses less digits than its factorization.

82006131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208801.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 82006131 is about 9055.7236596530. The cubic root of 82006131 is about 434.4589759558.

Adding to 82006131 its reverse (13160028), we get a palindrome (95166159).

The spelling of 82006131 in words is "eighty-two million, six thousand, one hundred thirty-one".