3633961 has 8 divisors (see below), whose sum is σ = 3789000. Its totient is φ = 3485104.

The previous prime is 3633941. The next prime is 3633983. The reversal of 3633961 is 1693363.

It can be written as a sum of positive squares in 4 ways, for example, as 118336 + 3515625 = 344^2 + 1875^2 .

It is not a de Polignac number, because 3633961 - 2⁹ = 3633449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3633901) 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 7 ways as a sum of consecutive naturals, for example, 24315 + ... + 24463.

It is an arithmetic number, because the mean of its divisors is an integer number (473625).

Almost surely, 2^3633961 is an apocalyptic number.

It is an amenable number.

3633961 is a deficient number, since it is larger than the sum of its proper divisors (155039).

3633961 is an frugal number, since it uses more digits than its factorization.

3633961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 178 counting only the distinct ones).

The product of its digits is 8748, while the sum is 31.

The square root of 3633961 is about 1906.2950978272. The cubic root of 3633961 is about 153.7423165790.

The spelling of 3633961 in words is "three million, six hundred thirty-three thousand, nine hundred sixty-one".