3607 has 2 divisors, whose sum is σ = 3608. Its totient is φ = 3606.

The previous prime is 3593. The next prime is 3613. The reversal of 3607 is 7063.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 3607 - 2¹¹ = 1559 is a prime.

3607 is a lucky number.

It is a plaindrome in base 11 and base 14.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3617) 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 as a sum of consecutive naturals, namely, 1803 + 1804.

It is an arithmetic number, because the mean of its divisors is an integer number (1804).

2³⁶⁰⁷ is an apocalyptic number.

3607 is a deficient number, since it is larger than the sum of its proper divisors (1).

3607 is an equidigital number, since it uses as much as digits as its factorization.

3607 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 16.

The square root of 3607 is about 60.0583050044. The cubic root of 3607 is about 15.3361158571.

Subtracting from 3607 its product of nonzero digits (126), we obtain a square (3481 = 59²).

The spelling of 3607 in words is "three thousand, six hundred seven".