82464131 has 16 divisors (see below), whose sum is σ = 89190720. Its totient is φ = 76053120.

The previous prime is 82464121. The next prime is 82464149. The reversal of 82464131 is 13146428.

It is a cyclic number.

It is not a de Polignac number, because 82464131 - 2¹⁴ = 82447747 is a prime.

It is a super-2 number, since 2×82464131² = 13600665803170322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82464094 and 82464103.

It is not an unprimeable number, because it can be changed into a prime (82464101) 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 15 ways as a sum of consecutive naturals, for example, 73805 + ... + 74913.

It is an arithmetic number, because the mean of its divisors is an integer number (5574420).

Almost surely, 2^82464131 is an apocalyptic number.

82464131 is a deficient number, since it is larger than the sum of its proper divisors (6726589).

82464131 is a wasteful number, since it uses less digits than its factorization.

82464131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246.

The product of its digits is 4608, while the sum is 29.

The square root of 82464131 is about 9080.9763241625. The cubic root of 82464131 is about 435.2662851921.

The spelling of 82464131 in words is "eighty-two million, four hundred sixty-four thousand, one hundred thirty-one".