14976 has 48 divisors (see below), whose sum is σ = 46410. Its totient is φ = 4608.

The previous prime is 14969. The next prime is 14983. The reversal of 14976 is 67941.

It is an interprime number because it is at equal distance from previous prime (14969) and next prime (14983).

It can be written as a sum of positive squares in only one way, i.e., 14400 + 576 = 120^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (48).

Its product of digits (1512) is a multiple of the sum of its prime divisors (18).

It is a nialpdrome in base 4 and base 12.

It is a zygodrome in base 12.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 14976.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1146 + ... + 1158.

2^{14976} is an apocalyptic number.

14976 is a gapful number since it is divisible by the number (16) 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 14976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23205).

14976 is an abundant number, since it is smaller than the sum of its proper divisors (31434).

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

14976 is a wasteful number, since it uses less digits than its factorization.

14976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33 (or 18 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 14976 is about 122.3764683262. The cubic root of 14976 is about 24.6489605910.

It can be divided in two parts, 149 and 76, that added together give a square (225 = 15^{2}).

The spelling of 14976 in words is "fourteen thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3744 4992 7488 14976

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