14952 has 32 divisors (see below), whose sum is σ = 43200. Its totient is φ = 4224.

The previous prime is 14951. The next prime is 14957. The reversal of 14952 is 25941.

14952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 14952.

It is not an unprimeable number, because it can be changed into a prime (14951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124 + ... + 212.

It is an arithmetic number, because the mean of its divisors is an integer number (1350).

2¹⁴⁹⁵² is an apocalyptic number.

14952 is a gapful number since it is divisible by the number (12) 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 14952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21600).

14952 is an abundant number, since it is smaller than the sum of its proper divisors (28248).

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

14952 is a wasteful number, since it uses less digits than its factorization.

14952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 101 counting only the distinct ones).

The product of its digits is 360, while the sum is 21.

The square root of 14952 is about 122.2783709411. The cubic root of 14952 is about 24.6357863712.

The spelling of 14952 in words is "fourteen thousand, nine hundred fifty-two".