35768961 has 12 divisors (see below), whose sum is σ = 51967188. Its totient is φ = 23707104.

The previous prime is 35768959. The next prime is 35768983. The reversal of 35768961 is 16986753.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 27248400 + 8520561 = 5220^2 + 2919^2 .

It is not a de Polignac number, because 35768961 - 2¹ = 35768959 is a prime.

It is not an unprimeable number, because it can be changed into a prime (35768951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9930 + ... + 13043.

It is an arithmetic number, because the mean of its divisors is an integer number (4330599).

Almost surely, 2^35768961 is an apocalyptic number.

It is an amenable number.

35768961 is a deficient number, since it is larger than the sum of its proper divisors (16198227).

35768961 is a wasteful number, since it uses less digits than its factorization.

35768961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23152 (or 23149 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 35768961 is about 5980.7157598401. The cubic root of 35768961 is about 329.4848436010.

The spelling of 35768961 in words is "thirty-five million, seven hundred sixty-eight thousand, nine hundred sixty-one".