1533 has 8 divisors (see below), whose sum is σ = 2368. Its totient is φ = 864.

The previous prime is 1531. The next prime is 1543. The reversal of 1533 is 3351.

It is a happy number.

1533 is nontrivially palindromic in base 2 and base 14.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1533 - 2¹ = 1531 is a prime.

It is a Duffinian number.

1533 is an undulating number in base 14.

1533 is a modest number, since divided by 33 gives 15 as remainder.

It is a Curzon number.

1533 is a lucky number.

It is a nialpdrome in base 7.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 1533.

It is not an unprimeable number, because it can be changed into a prime (1531) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16 + ... + 57.

It is an arithmetic number, because the mean of its divisors is an integer number (296).

It is an amenable number.

1533 is a deficient number, since it is larger than the sum of its proper divisors (835).

1533 is an equidigital number, since it uses as much as digits as its factorization.

1533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83.

The product of its digits is 45, while the sum is 12.

The square root of 1533 is about 39.1535439009. The cubic root of 1533 is about 11.5304799502.

Subtracting from 1533 its sum of digits (12), we obtain a square (1521 = 39²).

Adding to 1533 its reverse (3351), we get a palindrome (4884).

The spelling of 1533 in words is "one thousand, five hundred thirty-three".