7353 has 12 divisors (see below), whose sum is σ = 11440. Its totient is φ = 4536.

The previous prime is 7351. The next prime is 7369. The reversal of 7353 is 3537.

7353 is nontrivially palindromic in base 7.

It is not a de Polignac number, because 7353 - 2¹ = 7351 is a prime.

It is a Duffinian number.

7353 is an undulating number in base 7.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (7351) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150 + ... + 192.

2⁷³⁵³ is an apocalyptic number.

It is an amenable number.

7353 is a deficient number, since it is larger than the sum of its proper divisors (4087).

7353 is a wasteful number, since it uses less digits than its factorization.

7353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 65 counting only the distinct ones).

The product of its digits is 315, while the sum is 18.

The square root of 7353 is about 85.7496355677. The cubic root of 7353 is about 19.4456077913.

The spelling of 7353 in words is "seven thousand, three hundred fifty-three".