7363 has 4 divisors (see below), whose sum is σ = 7600. Its totient is φ = 7128.

The previous prime is 7351. The next prime is 7369. The reversal of 7363 is 3637.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 7363 - 2⁵ = 7331 is a prime.

It is a d-powerful number, because it can be written as 7³ + 6³ + 3⁵ + 3⁸ .

It is a Duffinian number.

It is a plaindrome in base 15.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 7363.

It is not an unprimeable number, because it can be changed into a prime (7369) 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, 63 + ... + 136.

It is an arithmetic number, because the mean of its divisors is an integer number (1900).

7363 is a deficient number, since it is larger than the sum of its proper divisors (237).

7363 is a wasteful number, since it uses less digits than its factorization.

7363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236.

The product of its digits is 378, while the sum is 19.

The square root of 7363 is about 85.8079250419. The cubic root of 7363 is about 19.4544190698.

It can be divided in two parts, 73 and 63, that added together give a triangular number (136 = T₁₆).

The spelling of 7363 in words is "seven thousand, three hundred sixty-three".