1523 has 2 divisors, whose sum is σ = 1524.
Its totient is φ = 1522.
The previous prime is 1511. The next prime is 1531. The reversal of 1523 is 3251.
Adding to 1523 its reverse (3251), we get a palindrome (4774).
Subtracting 1523 from its reverse (3251), we obtain a cube (1728 = 123).
It is a strong prime.
1523 is a truncatable prime.
It is an emirp because it is prime and its reverse (3251) is a distict prime.
It is a cyclic number.
It is not a de Polignac number, because 1523 - 26 = 1459 is a prime.
It is a plaindrome in base 14.
It is not a weakly prime, because it can be changed into another prime (1543) by changing a digit.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 761 + 762.
It is an arithmetic number, because the mean of its divisors is an integer number (762).
1523 is a deficient number, since it is larger than the sum of its proper divisors (1).
1523 is an equidigital number, since it uses as much as digits as its factorization.
1523 is an evil number, because the sum of its binary digits is even.
The product of its digits is 30, while the sum is 11.
The square root of 1523 is about 39.0256326022.
The cubic root of 1523 is about 11.5053535251.
The spelling of 1523 in words is "one thousand, five hundred twenty-three".