268573 has 2 divisors, whose sum is σ = 268574. Its totient is φ = 268572.

The previous prime is 268547. The next prime is 268607. The reversal of 268573 is 375862.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 191844 + 76729 = 438^2 + 277^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-268573 is a prime.

It is a d-powerful number, because it can be written as 2¹⁷ + 6² + 5³ + 8 + 7⁶ + 3⁹ .

268573 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (268973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 134286 + 134287.

It is an arithmetic number, because the mean of its divisors is an integer number (134287).

2²⁶⁸⁵⁷³ is an apocalyptic number.

It is an amenable number.

268573 is a deficient number, since it is larger than the sum of its proper divisors (1).

268573 is an equidigital number, since it uses as much as digits as its factorization.

268573 is an evil number, because the sum of its binary digits is even.

The product of its digits is 10080, while the sum is 31.

The square root of 268573 is about 518.2402917566. The cubic root of 268573 is about 64.5189736461.

It can be divided in two parts, 268 and 573, that added together give a square (841 = 29²).

The spelling of 268573 in words is "two hundred sixty-eight thousand, five hundred seventy-three".