2997 has 10 divisors (see below), whose sum is σ = 4598. Its totient is φ = 1944.

The previous prime is 2971. The next prime is 2999. The reversal of 2997 is 7992.

2997 is nontrivially palindromic in base 7 and base 8.

It can be written as a sum of positive squares in only one way, i.e., 2916 + 81 = 54^2 + 9^2 .

It is not a de Polignac number, because 2997 - 2^{8} = 2741 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a plaindrome in base 12.

It is a nialpdrome in base 9 and base 16.

It is a self number, because there is not a number *n* which added to its sum of digits gives 2997.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2999) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 63 + ... + 99.

2997 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2997 is a deficient number, since it is larger than the sum of its proper divisors (1601).

2997 is an equidigital number, since it uses as much as digits as its factorization.

2997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 40 counting only the distinct ones).

The product of its digits is 1134, while the sum is 27.

The square root of 2997 is about 54.7448627727. The cubic root of 2997 is about 14.4176866011.

2997 divided by its sum of digits (27) gives a palindrome (111).

It can be divided in two parts, 2 and 997, that added together give a palindrome (999).

The spelling of 2997 in words is "two thousand, nine hundred ninety-seven".

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