2946 has 8 divisors (see below), whose sum is σ = 5904. Its totient is φ = 980.

The previous prime is 2939. The next prime is 2953. The reversal of 2946 is 6492.

It is an interprime number because it is at equal distance from previous prime (2939) and next prime (2953).

It is a sphenic number, since it is the product of 3 distinct primes.

2946 is an admirable number.

It is a plaindrome in base 11 and base 13.

It is a nialpdrome in base 16.

It is an unprimeable number.

2946 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 3 ways as a sum of consecutive naturals, for example, 240 + ... + 251.

It is an arithmetic number, because the mean of its divisors is an integer number (738).

2²⁹⁴⁶ is an apocalyptic number.

2946 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2952).

2946 is a wasteful number, since it uses less digits than its factorization.

2946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496.

The product of its digits is 432, while the sum is 21.

The square root of 2946 is about 54.2770669804. The cubic root of 2946 is about 14.3354362638.

It can be divided in two parts, 294 and 6, that multiplied together give a square (1764 = 42²).

The spelling of 2946 in words is "two thousand, nine hundred forty-six".