13864 has 8 divisors (see below), whose sum is σ = 26010. Its totient is φ = 6928.
The previous prime is 13859. The next prime is 13873. The reversal of 13864 is 46831.
It can be written as a sum of positive squares in only one way, i.e., 12100 + 1764 = 110^2 + 42^2 .
It is a tau number, because it is divible by the number of its divisors (8).
It is an unprimeable number.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 859 + ... + 874.
213864 is an apocalyptic number.
It is an amenable number.
13864 is a deficient number, since it is larger than the sum of its proper divisors (12146).
13864 is a wasteful number, since it uses less digits than its factorization.
13864 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1739 (or 1735 counting only the distinct ones).
The product of its digits is 576, while the sum is 22.
The square root of 13864 is about 117.7454882363. The cubic root of 13864 is about 24.0231258574.
It can be divided in two parts, 138 and 64, that added together give a palindrome (202).
The spelling of 13864 in words is "thirteen thousand, eight hundred sixty-four".
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