14004 has 18 divisors (see below), whose sum is σ = 35490. Its totient is φ = 4656.

The previous prime is 13999. The next prime is 14009. The reversal of 14004 is 40041.

It is an interprime number because it is at equal distance from previous prime (13999) and next prime (14009).

It can be written as a sum of positive squares in only one way, i.e., 10404 + 3600 = 102^2 + 60^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×14004^{2} = 392224032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14009) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 159 + ... + 230.

2^{14004} is an apocalyptic number.

It is an amenable number.

14004 is an abundant number, since it is smaller than the sum of its proper divisors (21486).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14004 is a wasteful number, since it uses less digits than its factorization.

14004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 14004 is about 118.3384975399. The cubic root of 14004 is about 24.1037177968.

Adding to 14004 its reverse (40041), we get a palindrome (54045).

It can be divided in two parts, 1 and 4004, that added together give a triangular number (4005 = T_{89}).

The spelling of 14004 in words is "fourteen thousand, four", and thus it is an iban number.

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