3673 has 2 divisors, whose sum is σ = 3674. Its totient is φ = 3672.

The previous prime is 3671. The next prime is 3677. The reversal of 3673 is 3763.

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., 2304 + 1369 = 48^2 + 37^2 .

3673 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 3673 - 2¹ = 3671 is a prime.

Together with 3671, it forms a pair of twin primes.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 3673.

It is not a weakly prime, because it can be changed into another prime (3671) 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, 1836 + 1837.

It is an arithmetic number, because the mean of its divisors is an integer number (1837).

2³⁶⁷³ is an apocalyptic number.

It is an amenable number.

3673 is a deficient number, since it is larger than the sum of its proper divisors (1).

3673 is an equidigital number, since it uses as much as digits as its factorization.

3673 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 378, while the sum is 19.

The square root of 3673 is about 60.6052802980. The cubic root of 3673 is about 15.4290898970.

It can be divided in two parts, 36 and 73, that multiplied together give a triangular number (2628 = T₇₂).

The spelling of 3673 in words is "three thousand, six hundred seventy-three".