33623 has 2 divisors, whose sum is σ = 33624. Its totient is φ = 33622.

The previous prime is 33619. The next prime is 33629. The reversal of 33623 is 32633.

33623 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is an emirp because it is prime and its reverse (32633) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33623 - 2² = 33619 is a prime.

It is a super-2 number, since 2×33623² = 2261012258, which contains 22 as substring.

It is a Sophie Germain prime.

It is a d-powerful number, because it can be written as 3² + 3⁴ + 6² + 2¹⁵ + 3⁶ .

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33629) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16811 + 16812.

It is an arithmetic number, because the mean of its divisors is an integer number (16812).

2³³⁶²³ is an apocalyptic number.

33623 is a deficient number, since it is larger than the sum of its proper divisors (1).

33623 is an equidigital number, since it uses as much as digits as its factorization.

33623 is an evil number, because the sum of its binary digits is even.

The product of its digits is 324, while the sum is 17.

The square root of 33623 is about 183.3657547090. The cubic root of 33623 is about 32.2759341099.

Subtracting from 33623 its reverse (32633), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 33 and 623, that added together give a palindrome (656).

The spelling of 33623 in words is "thirty-three thousand, six hundred twenty-three".