7263 has 8 divisors (see below), whose sum is σ = 10800. Its totient is φ = 4824.

The previous prime is 7253. The next prime is 7283. The reversal of 7263 is 3627.

It is not a de Polignac number, because 7263 - 2⁴ = 7247 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7213) 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, 108 + ... + 161.

It is an arithmetic number, because the mean of its divisors is an integer number (1350).

2⁷²⁶³ is an apocalyptic number.

7263 is a deficient number, since it is larger than the sum of its proper divisors (3537).

7263 is a wasteful number, since it uses less digits than its factorization.

7263 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 272 counting only the distinct ones).

The product of its digits is 252, while the sum is 18.

The square root of 7263 is about 85.2232362681. The cubic root of 7263 is about 19.3659444328.

It can be divided in two parts, 726 and 3, that added together give a 6-th power (729 = 3⁶).

The spelling of 7263 in words is "seven thousand, two hundred sixty-three".