413267 has 2 divisors, whose sum is σ = 413268. Its totient is φ = 413266.

The previous prime is 413263. The next prime is 413293. The reversal of 413267 is 762314.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 413267 - 2² = 413263 is a prime.

It is a super-3 number, since 3×413267³ = 211745133345315489, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Chen prime.

It is a d-powerful number, because it can be written as 4³ + 1 + 2¹⁷ + 3⁷ + 6⁷ + 7 .

It is a nialpdrome in base 14.

It is not a weakly prime, because it can be changed into another prime (413263) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206633 + 206634.

It is an arithmetic number, because the mean of its divisors is an integer number (206634).

2⁴¹³²⁶⁷ is an apocalyptic number.

413267 is a deficient number, since it is larger than the sum of its proper divisors (1).

413267 is an equidigital number, since it uses as much as digits as its factorization.

413267 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1008, while the sum is 23.

The square root of 413267 is about 642.8584603161. The cubic root of 413267 is about 74.4863870147.

The spelling of 413267 in words is "four hundred thirteen thousand, two hundred sixty-seven".