35505961 has 2 divisors, whose sum is σ = 35505962. Its totient is φ = 35505960.

The previous prime is 35505941. The next prime is 35505971. The reversal of 35505961 is 16950553.

35505961 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., 31990336 + 3515625 = 5656^2 + 1875^2 .

It is a cyclic number.

It is not a de Polignac number, because 35505961 - 2⁵ = 35505929 is a prime.

It is not a weakly prime, because it can be changed into another prime (35505931) 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, 17752980 + 17752981.

It is an arithmetic number, because the mean of its divisors is an integer number (17752981).

Almost surely, 2^35505961 is an apocalyptic number.

It is an amenable number.

35505961 is a deficient number, since it is larger than the sum of its proper divisors (1).

35505961 is an equidigital number, since it uses as much as digits as its factorization.

35505961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20250, while the sum is 34.

The square root of 35505961 is about 5958.6878589166. The cubic root of 35505961 is about 328.6753170723.

The spelling of 35505961 in words is "thirty-five million, five hundred five thousand, nine hundred sixty-one".