35561961 has 12 divisors (see below), whose sum is σ = 51434292. Its totient is φ = 23677056.

The previous prime is 35561947. The next prime is 35561971. The reversal of 35561961 is 16916553.

35561961 is a `hidden beast` number, since 3 + 5 + 561 + 96 + 1 = 666.

35561961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

35561961 is a nontrivial binomial coefficient, being equal to C(8434, 2).

It can be written as a sum of positive squares in 2 ways, for example, as 15848361 + 19713600 = 3981^2 + 4440^2 .

It is not a de Polignac number, because 35561961 - 2⁷ = 35561833 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (35561941) 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 in 11 ways as a sum of consecutive naturals, for example, 6325 + ... + 10541.

It is an arithmetic number, because the mean of its divisors is an integer number (4286191).

Almost surely, 2^35561961 is an apocalyptic number.

35561961 is the 8433-rd triangular number and also the 4217-th hexagonal number.

It is an amenable number.

35561961 is a deficient number, since it is larger than the sum of its proper divisors (15872331).

35561961 is a wasteful number, since it uses less digits than its factorization.

35561961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5160 (or 5157 counting only the distinct ones).

The product of its digits is 24300, while the sum is 36.

The square root of 35561961 is about 5963.3850286561. The cubic root of 35561961 is about 328.8480218723.

The spelling of 35561961 in words is "thirty-five million, five hundred sixty-one thousand, nine hundred sixty-one".