297 has 8 divisors (see below), whose sum is σ = 480. Its totient is φ = 180.

The previous prime is 293. The next prime is 307. The reversal of 297 is 792.

Added to its reverse (792) it gives a square (1089 = 33^{2}).

297 is nontrivially palindromic in base 2.

It is not a de Polignac number, because 297 - 2^{2} = 293 is a prime.

Its product of digits (126) is a multiple of the sum of its prime divisors (14).

It is a partition number, being equal to the number of ways a set of 17 identical objects can be partitioned into subset.

297 is a lucky number.

It is a plaindrome in base 13, base 15 and base 16.

It is not an unprimeable number, because it can be changed into a prime (293) by changing a digit.

It is a Kaprekar number, because its square (88209) can be partitioned into two parts whose sum is 297.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22 + ... + 32.

It is an arithmetic number, because the mean of its divisors is an integer number (60).

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

297 is the 9-th decagonal number.

It is an amenable number.

297 is a deficient number, since it is larger than the sum of its proper divisors (183).

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

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

The sum of its prime factors is 20 (or 14 counting only the distinct ones).

The product of its digits is 126, while the sum is 18.

The square root of 297 is about 17.2336879396. The cubic root of 297 is about 6.6719402717.

Subtracting from 297 its product of digits (126), we obtain a palindrome (171).

Adding to 297 its reverse (792), we get a square (1089 = 33^{2}).

It can be divided in two parts, 29 and 7, that added together give a triangular number (36 = T_{8}).

The spelling of 297 in words is "two hundred ninety-seven", and thus it is an aban number.

• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.033 sec. • engine limits •