268497 has 6 divisors (see below), whose sum is σ = 387842. Its totient is φ = 178992.

The previous prime is 268493. The next prime is 268501. The reversal of 268497 is 794862.

It is an interprime number because it is at equal distance from previous prime (268493) and next prime (268501).

It can be written as a sum of positive squares in only one way, i.e., 221841 + 46656 = 471^2 + 216^2 .

It is not a de Polignac number, because 268497 - 2² = 268493 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 268497.

It is not an unprimeable number, because it can be changed into a prime (268493) 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 in 5 ways as a sum of consecutive naturals, for example, 14908 + ... + 14925.

2²⁶⁸⁴⁹⁷ is an apocalyptic number.

It is an amenable number.

268497 is a deficient number, since it is larger than the sum of its proper divisors (119345).

268497 is a wasteful number, since it uses less digits than its factorization.

268497 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29839 (or 29836 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 268497 is about 518.1669615095. The cubic root of 268497 is about 64.5128872753.

The spelling of 268497 in words is "two hundred sixty-eight thousand, four hundred ninety-seven".