1353 has 8 divisors (see below), whose sum is σ = 2016. Its totient is φ = 800.

The previous prime is 1327. The next prime is 1361. The reversal of 1353 is 3531.

It is a happy number.

1353 is nontrivially palindromic in base 12.

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

It is a cyclic number.

1353 is an astonishing number since 1353 = 13 + ... + 53.

It is not a de Polignac number, because 1353 - 2⁵ = 1321 is a prime.

1353 is an undulating number in base 12.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13 + ... + 53.

It is an arithmetic number, because the mean of its divisors is an integer number (252).

It is an amenable number.

1353 is a deficient number, since it is larger than the sum of its proper divisors (663).

1353 is a wasteful number, since it uses less digits than its factorization.

1353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55.

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

The square root of 1353 is about 36.7831483155. The cubic root of 1353 is about 11.0602751758.

Adding to 1353 its reverse (3531), we get a palindrome (4884).

It can be divided in two parts, 13 and 53, that added together give a palindrome (66).

The spelling of 1353 in words is "one thousand, three hundred fifty-three".