2972 has 6 divisors (see below), whose sum is σ = 5208.
Its totient is φ = 1484.
The previous prime is 2971. The next prime is 2999. The reversal of 2972 is 2792.
It is a plaindrome in base 7, base 13 and base 14.
It is a nialpdrome in base 15.
It is a zygodrome in base 7.
It is a congruent number.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 2972.
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 (7) of ones.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 368 + ... + 375.
It is an arithmetic number, because the mean of its divisors is an integer number (868).
It is an amenable number.
2972 is a deficient number, since it is larger than the sum of its proper divisors (2236).
2972 is a wasteful number, since it uses less digits than its factorization.
2972 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 747 (or 745 counting only the distinct ones).
The product of its digits is 252, while the sum is 20.
The square root of 2972 is about 54.5160526818.
The cubic root of 2972 is about 14.3774853926.
Adding to 2972 its sum of digits (20), we get a palindrome (2992).
It can be divided in two parts, 29 and 72, that added together give a palindrome (101).
The spelling of 2972 in words is "two thousand, nine hundred seventy-two".