297768 has 32 divisors (see below), whose sum is σ = 784800. Its totient is φ = 93888.

The previous prime is 297757. The next prime is 297779. The reversal of 297768 is 867792.

It is an interprime number because it is at equal distance from previous prime (297757) and next prime (297779).

It is an unprimeable number.

297768 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130 + ... + 782.

It is an arithmetic number, because the mean of its divisors is an integer number (24525).

2²⁹⁷⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 297768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392400).

297768 is an abundant number, since it is smaller than the sum of its proper divisors (487032).

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

297768 is a wasteful number, since it uses less digits than its factorization.

297768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 677 counting only the distinct ones).

The product of its digits is 42336, while the sum is 39.

The square root of 297768 is about 545.6812256254. The cubic root of 297768 is about 66.7768621983.

The spelling of 297768 in words is "two hundred ninety-seven thousand, seven hundred sixty-eight".