3709633 has 2 divisors, whose sum is σ = 3709634. Its totient is φ = 3709632.

The previous prime is 3709631. The next prime is 3709661. The reversal of 3709633 is 3369073.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3640464 + 69169 = 1908^2 + 263^2 .

It is an emirp because it is prime and its reverse (3369073) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3709633 - 2¹ = 3709631 is a prime.

It is a super-2 number, since 2×3709633² = 27522753989378, which contains 22 as substring.

Together with 3709631, it forms a pair of twin primes.

3709633 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 3709595 and 3709604.

It is not a weakly prime, because it can be changed into another prime (3709631) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1854816 + 1854817.

It is an arithmetic number, because the mean of its divisors is an integer number (1854817).

Almost surely, 2^3709633 is an apocalyptic number.

It is an amenable number.

3709633 is a deficient number, since it is larger than the sum of its proper divisors (1).

3709633 is an equidigital number, since it uses as much as digits as its factorization.

3709633 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10206, while the sum is 31.

The square root of 3709633 is about 1926.0407576165. The cubic root of 3709633 is about 154.8021478335.

The spelling of 3709633 in words is "three million, seven hundred nine thousand, six hundred thirty-three".