3813 has 8 divisors (see below), whose sum is σ = 5376. Its totient is φ = 2400.

The previous prime is 3803. The next prime is 3821. The reversal of 3813 is 3183.

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

It is not a de Polignac number, because 3813 - 2⁴ = 3797 is a prime.

3813 is a Rhonda number in base 6.

It is a plaindrome in base 12.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 3792 and 3801.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3813.

It is not an unprimeable number, because it can be changed into a prime (3803) 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, 73 + ... + 113.

It is an arithmetic number, because the mean of its divisors is an integer number (672).

It is an amenable number.

3813 is a deficient number, since it is larger than the sum of its proper divisors (1563).

3813 is a wasteful number, since it uses less digits than its factorization.

3813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75.

The product of its digits is 72, while the sum is 15.

The square root of 3813 is about 61.7494939251. The cubic root of 3813 is about 15.6226823229.

Adding to 3813 its sum of digits (15), we get a triangular number (3828 = T₈₇).

Subtracting from 3813 its product of digits (72), we obtain a triangular number (3741 = T₈₆).

Adding to 3813 its reverse (3183), we get a palindrome (6996).

Subtracting from 3813 its reverse (3183), we obtain a triangular number (630 = T₃₅).

It can be divided in two parts, 38 and 13, that multiplied together give a palindrome (494).

The spelling of 3813 in words is "three thousand, eight hundred thirteen".