14504 has 24 divisors (see below), whose sum is σ = 32490. Its totient is φ = 6048.

The previous prime is 14503. The next prime is 14519. The reversal of 14504 is 40541.

It can be written as a sum of positive squares in only one way, i.e., 9604 + 4900 = 98^2 + 70^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a plaindrome in base 15.

It is a nialpdrome in base 11 and base 14.

It is not an unprimeable number, because it can be changed into a prime (14503) 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, 374 + ... + 410.

2¹⁴⁵⁰⁴ is an apocalyptic number.

14504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16245).

14504 is an abundant number, since it is smaller than the sum of its proper divisors (17986).

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

14504 is a wasteful number, since it uses less digits than its factorization.

14504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 14504 is about 120.4325537386. The cubic root of 14504 is about 24.3872368976.

It can be divided in two parts, 14 and 504, that multiplied together give a square (7056 = 84²).

The spelling of 14504 in words is "fourteen thousand, five hundred four".