35640641 has 2 divisors, whose sum is σ = 35640642. Its totient is φ = 35640640.

The previous prime is 35640601. The next prime is 35640667. The reversal of 35640641 is 14604653.

It is a happy number.

35640641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24216241 + 11424400 = 4921^2 + 3380^2 .

It is a cyclic number.

It is not a de Polignac number, because 35640641 - 2¹⁴ = 35624257 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (35640601) 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, 17820320 + 17820321.

It is an arithmetic number, because the mean of its divisors is an integer number (17820321).

Almost surely, 2^35640641 is an apocalyptic number.

It is an amenable number.

35640641 is a deficient number, since it is larger than the sum of its proper divisors (1).

35640641 is an equidigital number, since it uses as much as digits as its factorization.

35640641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 35640641 is about 5969.9783081683. The cubic root of 35640641 is about 329.0903660640.

The spelling of 35640641 in words is "thirty-five million, six hundred forty thousand, six hundred forty-one".