2976 has 24 divisors (see below), whose sum is σ = 8064. Its totient is φ = 960.

The previous prime is 2971. The next prime is 2999. The reversal of 2976 is 6792.

2976 = 14^{2} + 15^{2} + ... + 22^{2}.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

Its product of digits (756) is a multiple of the sum of its prime divisors (36).

It is a plaindrome in base 11, base 13 and base 14.

It is a nialpdrome in base 16.

It is a zygodrome in base 11.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 2976.

It is not an unprimeable number, because it can be changed into a prime (2971) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 81 + ... + 111.

It is an arithmetic number, because the mean of its divisors is an integer number (336).

2976 is the 35-th centered pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4032).

2976 is an abundant number, since it is smaller than the sum of its proper divisors (5088).

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

2976 is a wasteful number, since it uses less digits than its factorization.

2976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 36 counting only the distinct ones).

The product of its digits is 756, while the sum is 24.

The square root of 2976 is about 54.5527267879. The cubic root of 2976 is about 14.3839326963.

It can be divided in two parts, 297 and 6, that added together give a palindrome (303).

The spelling of 2976 in words is "two thousand, nine hundred seventy-six".

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