7233 has 4 divisors (see below), whose sum is σ = 9648. Its totient is φ = 4820.

The previous prime is 7229. The next prime is 7237. The reversal of 7233 is 3327.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 3327 = 3 ⋅1109.

It is an interprime number because it is at equal distance from previous prime (7229) and next prime (7237).

It is a cyclic number.

It is not a de Polignac number, because 7233 - 2^{2} = 7229 is a prime.

It is a D-number.

7233 is a lucky number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (7237) 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 3 ways as a sum of consecutive naturals, for example, 1203 + ... + 1208.

It is an arithmetic number, because the mean of its divisors is an integer number (2412).

2^{7233} is an apocalyptic number.

It is an amenable number.

7233 is a deficient number, since it is larger than the sum of its proper divisors (2415).

7233 is a wasteful number, since it uses less digits than its factorization.

7233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414.

The product of its digits is 126, while the sum is 15.

The square root of 7233 is about 85.0470458041. The cubic root of 7233 is about 19.3392438000.

It can be divided in two parts, 72 and 33, that added together give a triangular number (105 = T_{14}).

The spelling of 7233 in words is "seven thousand, two hundred thirty-three".

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