363267 has 12 divisors (see below), whose sum is σ = 529984. Its totient is φ = 239760.

The previous prime is 363257. The next prime is 363269. The reversal of 363267 is 762363.

It is not a de Polignac number, because 363267 - 2¹¹ = 361219 is a prime.

It is a Duffinian number.

363267 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 363267.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 363267.

It is not an unprimeable number, because it can be changed into a prime (363269) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1518 + ... + 1740.

2³⁶³²⁶⁷ is an apocalyptic number.

363267 is a deficient number, since it is larger than the sum of its proper divisors (166717).

363267 is a wasteful number, since it uses less digits than its factorization.

363267 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 407 counting only the distinct ones).

The product of its digits is 4536, while the sum is 27.

The square root of 363267 is about 602.7163511968. The cubic root of 363267 is about 71.3524104410.

It can be divided in two parts, 363 and 267, that added together give a triangular number (630 = T₃₅).

The spelling of 363267 in words is "three hundred sixty-three thousand, two hundred sixty-seven".