263385 has 16 divisors (see below), whose sum is σ = 468480. Its totient is φ = 140400.

The previous prime is 263383. The next prime is 263387. The reversal of 263385 is 583362.

It is an interprime number because it is at equal distance from previous prime (263383) and next prime (263387).

It is not a de Polignac number, because 263385 - 2¹ = 263383 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 2⁷ + 6⁶ + 3⁸ + 3¹¹ + 8⁵ + 5³ .

263385 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263383) 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 15 ways as a sum of consecutive naturals, for example, 841 + ... + 1110.

It is an arithmetic number, because the mean of its divisors is an integer number (29280).

2²⁶³³⁸⁵ is an apocalyptic number.

It is an amenable number.

263385 is a deficient number, since it is larger than the sum of its proper divisors (205095).

263385 is a wasteful number, since it uses less digits than its factorization.

263385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965 (or 1959 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 263385 is about 513.2104831353. The cubic root of 263385 is about 64.1008338883.

The spelling of 263385 in words is "two hundred sixty-three thousand, three hundred eighty-five".