83721041 has 2 divisors, whose sum is σ = 83721042. Its totient is φ = 83721040.

The previous prime is 83721031. The next prime is 83721083. The reversal of 83721041 is 14012738.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82446400 + 1274641 = 9080^2 + 1129^2 .

It is a cyclic number.

It is not a de Polignac number, because 83721041 - 2⁶ = 83720977 is a prime.

It is a super-2 number, since 2×83721041² = 14018425412247362, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 83721041.

It is not a weakly prime, because it can be changed into another prime (83721031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41860520 + 41860521.

It is an arithmetic number, because the mean of its divisors is an integer number (41860521).

Almost surely, 2^83721041 is an apocalyptic number.

It is an amenable number.

83721041 is a deficient number, since it is larger than the sum of its proper divisors (1).

83721041 is an equidigital number, since it uses as much as digits as its factorization.

83721041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 83721041 is about 9149.9202728767. The cubic root of 83721041 is about 437.4665722487.

Adding to 83721041 its reverse (14012738), we get a palindrome (97733779).

The spelling of 83721041 in words is "eighty-three million, seven hundred twenty-one thousand, forty-one".