35652961 has 8 divisors (see below), whose sum is σ = 37916424. Its totient is φ = 33408000.

The previous prime is 35652959. The next prime is 35652979. The reversal of 35652961 is 16925653.

It can be written as a sum of positive squares in 4 ways, for example, as 1500625 + 34152336 = 1225^2 + 5844^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 35652961 - 2¹ = 35652959 is a prime.

It is a super-2 number, since 2×35652961² = 2542267256135042, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 35652961.

It is not an unprimeable number, because it can be changed into a prime (35652901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 540 + ... + 8461.

It is an arithmetic number, because the mean of its divisors is an integer number (4739553).

Almost surely, 2^35652961 is an apocalyptic number.

It is an amenable number.

35652961 is a deficient number, since it is larger than the sum of its proper divisors (2263463).

35652961 is a wasteful number, since it uses less digits than its factorization.

35652961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9251.

The product of its digits is 48600, while the sum is 37.

The square root of 35652961 is about 5971.0100485596. The cubic root of 35652961 is about 329.1282808912.

It can be divided in two parts, 356529 and 61, that added together give a triangular number (356590 = T₈₄₄).

The spelling of 35652961 in words is "thirty-five million, six hundred fifty-two thousand, nine hundred sixty-one".