82197641 has 8 divisors (see below), whose sum is σ = 83298600. Its totient is φ = 81100800.

The previous prime is 82197631. The next prime is 82197673. The reversal of 82197641 is 14679128.

It can be written as a sum of positive squares in 4 ways, for example, as 3254416 + 78943225 = 1804^2 + 8885^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82197641 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82197595 and 82197604.

It is not an unprimeable number, because it can be changed into a prime (82197631) 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, 67841 + ... + 69041.

It is an arithmetic number, because the mean of its divisors is an integer number (10412325).

Almost surely, 2^82197641 is an apocalyptic number.

It is an amenable number.

82197641 is a deficient number, since it is larger than the sum of its proper divisors (1100959).

82197641 is a wasteful number, since it uses less digits than its factorization.

82197641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2059.

The product of its digits is 24192, while the sum is 38.

The square root of 82197641 is about 9066.2914689525. The cubic root of 82197641 is about 434.7969122899.

The spelling of 82197641 in words is "eighty-two million, one hundred ninety-seven thousand, six hundred forty-one".