82141001 has 2 divisors, whose sum is σ = 82141002. Its totient is φ = 82141000.

The previous prime is 82140959. The next prime is 82141013. The reversal of 82141001 is 10014128.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75255625 + 6885376 = 8675^2 + 2624^2 .

It is a cyclic number.

It is not a de Polignac number, because 82141001 - 2¹⁴ = 82124617 is a prime.

It is not a weakly prime, because it can be changed into another prime (82143001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41070500 + 41070501.

It is an arithmetic number, because the mean of its divisors is an integer number (41070501).

Almost surely, 2^82141001 is an apocalyptic number.

It is an amenable number.

82141001 is a deficient number, since it is larger than the sum of its proper divisors (1).

82141001 is an equidigital number, since it uses as much as digits as its factorization.

82141001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 82141001 is about 9063.1672719861. The cubic root of 82141001 is about 434.6970207133.

Adding to 82141001 its reverse (10014128), we get a palindrome (92155129).

The spelling of 82141001 in words is "eighty-two million, one hundred forty-one thousand, one".