17623 has 2 divisors, whose sum is σ = 17624. Its totient is φ = 17622.

The previous prime is 17609. The next prime is 17627. The reversal of 17623 is 32671.

17623 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 17623 - 2¹³ = 9431 is a prime.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 17623.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (17627) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8811 + 8812.

It is an arithmetic number, because the mean of its divisors is an integer number (8812).

2¹⁷⁶²³ is an apocalyptic number.

17623 is a deficient number, since it is larger than the sum of its proper divisors (1).

17623 is an equidigital number, since it uses as much as digits as its factorization.

17623 is an evil number, because the sum of its binary digits is even.

The product of its digits is 252, while the sum is 19.

The square root of 17623 is about 132.7516478240. The cubic root of 17623 is about 26.0231549151.

Subtracting from 17623 its product of digits (252), we obtain a palindrome (17371).

The spelling of 17623 in words is "seventeen thousand, six hundred twenty-three".