3623 has 2 divisors, whose sum is σ = 3624. Its totient is φ = 3622.

The previous prime is 3617. The next prime is 3631. The reversal of 3623 is 3263.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 3623 - 2⁴ = 3607 is a prime.

It is a super-2 number, since 2×3623² = 26252258, which contains 22 as substring.

It is a Sophie Germain prime.

It is a plaindrome in base 14 and base 15.

It is a junction number, because it is equal to n+sod(n) for n = 3598 and 3607.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3613) 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, 1811 + 1812.

It is an arithmetic number, because the mean of its divisors is an integer number (1812).

2³⁶²³ is an apocalyptic number.

3623 is a deficient number, since it is larger than the sum of its proper divisors (1).

3623 is an equidigital number, since it uses as much as digits as its factorization.

3623 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 108, while the sum is 14.

The square root of 3623 is about 60.1913615064. The cubic root of 3623 is about 15.3587584898.

Adding to 3623 its reverse (3263), we get a palindrome (6886).

It can be divided in two parts, 36 and 23, that multiplied together give a palindrome (828).

The spelling of 3623 in words is "three thousand, six hundred twenty-three".