3893 has 4 divisors (see below), whose sum is σ = 4140. Its totient is φ = 3648.

The previous prime is 3889. The next prime is 3907. The reversal of 3893 is 3983.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 3983 = 7 ⋅569.

It can be written as a sum of positive squares in 2 ways, for example, as 3364 + 529 = 58^2 + 23^2 .

It is a cyclic number.

It is not a de Polignac number, because 3893 - 2² = 3889 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 98 + ... + 131.

It is an arithmetic number, because the mean of its divisors is an integer number (1035).

2³⁸⁹³ is an apocalyptic number.

It is an amenable number.

3893 is a deficient number, since it is larger than the sum of its proper divisors (247).

3893 is a wasteful number, since it uses less digits than its factorization.

3893 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246.

The product of its digits is 648, while the sum is 23.

The square root of 3893 is about 62.3939099592. The cubic root of 3893 is about 15.7311860678.

Adding to 3893 its sum of digits (23), we get a triangular number (3916 = T₈₈).

It can be divided in two parts, 38 and 93, that added together give a palindrome (131).

The spelling of 3893 in words is "three thousand, eight hundred ninety-three".