263967 has 16 divisors (see below), whose sum is σ = 405120. Its totient is φ = 151200.

The previous prime is 263957. The next prime is 263983. The reversal of 263967 is 769362.

It is not a de Polignac number, because 263967 - 2⁴ = 263951 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 417 + ... + 837.

It is an arithmetic number, because the mean of its divisors is an integer number (25320).

2²⁶³⁹⁶⁷ is an apocalyptic number.

263967 is a deficient number, since it is larger than the sum of its proper divisors (141153).

263967 is a wasteful number, since it uses less digits than its factorization.

263967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454.

The product of its digits is 13608, while the sum is 33.

The square root of 263967 is about 513.7771890616. Note that the first 3 decimals coincide. The cubic root of 263967 is about 64.1480135433.

It can be divided in two parts, 26 and 3967, that added together give a palindrome (3993).

The spelling of 263967 in words is "two hundred sixty-three thousand, nine hundred sixty-seven".