3723 has 8 divisors (see below), whose sum is σ = 5328. Its totient is φ = 2304.

The previous prime is 3719. The next prime is 3727. The reversal of 3723 is 3273.

Adding to 3723 its reverse (3273), we get a palindrome (6996).

It is an interprime number because it is at equal distance from previous prime (3719) and next prime (3727).

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

It is not a de Polignac number, because 3723 - 2^{2} = 3719 is a prime.

It is an Ulam number.

It is a d-powerful number, because it can be written as **3**^{4} + **2**^{9} + **7**^{4} + **3**^{6} .

It is a plaindrome in base 7 and base 14.

It is not an unprimeable number, because it can be changed into a prime (3727) 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 7 ways as a sum of consecutive naturals, for example, 15 + ... + 87.

It is an arithmetic number, because the mean of its divisors is an integer number (666).

3723 is a deficient number, since it is larger than the sum of its proper divisors (1605).

3723 is a wasteful number, since it uses less digits than its factorization.

3723 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93.

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

The square root of 3723 is about 61.0163912404. The cubic root of 3723 is about 15.4987858917.

The spelling of 3723 in words is "three thousand, seven hundred twenty-three", and thus it is an iban number.

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