40017101 has 2 divisors, whose sum is σ = 40017102. Its totient is φ = 40017100.

The previous prime is 40017011. The next prime is 40017113. The reversal of 40017101 is 10171004.

It is a happy number.

40017101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (40017011) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22335076 + 17682025 = 4726^2 + 4205^2 .

It is a cyclic number.

It is not a de Polignac number, because 40017101 - 2¹⁰ = 40016077 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40017121) 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 as a sum of consecutive naturals, namely, 20008550 + 20008551.

It is an arithmetic number, because the mean of its divisors is an integer number (20008551).

Almost surely, 2^40017101 is an apocalyptic number.

It is an amenable number.

40017101 is a deficient number, since it is larger than the sum of its proper divisors (1).

40017101 is an equidigital number, since it uses as much as digits as its factorization.

40017101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 14.

The square root of 40017101 is about 6325.9071286259. The cubic root of 40017101 is about 342.0439195560.

Adding to 40017101 its reverse (10171004), we get a palindrome (50188105).

The spelling of 40017101 in words is "forty million, seventeen thousand, one hundred one".