35646961 has 16 divisors (see below), whose sum is σ = 42016000. Its totient is φ = 30227904.

The previous prime is 35646937. The next prime is 35646971. The reversal of 35646961 is 16964653.

It is not a de Polignac number, because 35646961 - 2⁵ = 35646929 is a prime.

It is a super-3 number, since 3×35646961³ (a number of 24 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (35646901) 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 in 15 ways as a sum of consecutive naturals, for example, 34825 + ... + 35833.

It is an arithmetic number, because the mean of its divisors is an integer number (2626000).

Almost surely, 2^35646961 is an apocalyptic number.

It is an amenable number.

35646961 is a deficient number, since it is larger than the sum of its proper divisors (6369039).

35646961 is a wasteful number, since it uses less digits than its factorization.

35646961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1119 counting only the distinct ones).

The product of its digits is 116640, while the sum is 40.

The square root of 35646961 is about 5970.5075998612. The cubic root of 35646961 is about 329.1098169692.

The spelling of 35646961 in words is "thirty-five million, six hundred forty-six thousand, nine hundred sixty-one".