267601 has 2 divisors, whose sum is σ = 267602. Its totient is φ = 267600.

The previous prime is 267593. The next prime is 267611. The reversal of 267601 is 106762.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 144400 + 123201 = 380^2 + 351^2 .

It is a cyclic number.

It is not a de Polignac number, because 267601 - 2³ = 267593 is a prime.

It is a super-2 number, since 2×267601² = 143220590402, which contains 22 as substring.

It is equal to p₂₃₄₄₉ and since 267601 and 23449 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (267611) 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 as a sum of consecutive naturals, namely, 133800 + 133801.

It is an arithmetic number, because the mean of its divisors is an integer number (133801).

2²⁶⁷⁶⁰¹ is an apocalyptic number.

It is an amenable number.

267601 is a deficient number, since it is larger than the sum of its proper divisors (1).

267601 is an equidigital number, since it uses as much as digits as its factorization.

267601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 267601 is about 517.3016528100. The cubic root of 267601 is about 64.4410454234.

It can be divided in two parts, 267 and 601, that added together give a palindrome (868).

The spelling of 267601 in words is "two hundred sixty-seven thousand, six hundred one".