1524 has 12 divisors (see below), whose sum is σ = 3584. Its totient is φ = 504.

The previous prime is 1523. The next prime is 1531. The reversal of 1524 is 4251.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 127 = 1524 / (1 + 5 + 2 + 4).

It is a plaindrome in base 11 and base 14.

It is a nialpdrome in base 12.

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1523) 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 in 3 ways as a sum of consecutive naturals, for example, 52 + ... + 75.

2¹⁵²⁴ is an apocalyptic number.

It is an amenable number.

1524 is an abundant number, since it is smaller than the sum of its proper divisors (2060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792).

1524 is a wasteful number, since it uses less digits than its factorization.

1524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 132 counting only the distinct ones).

The product of its digits is 40, while the sum is 12.

The square root of 1524 is about 39.0384425919. The cubic root of 1524 is about 11.5078711080.

Adding to 1524 its reverse (4251), we get a palindrome (5775).

It can be divided in two parts, 1 and 524, that added together give a palindrome (525).

The spelling of 1524 in words is "one thousand, five hundred twenty-four".