263985 has 8 divisors (see below), whose sum is σ = 422400. Its totient is φ = 140784.

The previous prime is 263983. The next prime is 264007. The reversal of 263985 is 589362.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 263985 - 2¹ = 263983 is a prime.

It is a d-powerful number, because it can be written as 2¹⁰ + 6² + 9³ + 3³ + 8⁶ + 5² .

263985 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 263985.

It is not an unprimeable number, because it can be changed into a prime (263983) 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 7 ways as a sum of consecutive naturals, for example, 8785 + ... + 8814.

It is an arithmetic number, because the mean of its divisors is an integer number (52800).

2²⁶³⁹⁸⁵ is an apocalyptic number.

It is an amenable number.

263985 is a deficient number, since it is larger than the sum of its proper divisors (158415).

263985 is a wasteful number, since it uses less digits than its factorization.

263985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17607.

The product of its digits is 12960, while the sum is 33.

The square root of 263985 is about 513.7947060841. The cubic root of 263985 is about 64.1494716018.

The spelling of 263985 in words is "two hundred sixty-three thousand, nine hundred eighty-five".