264767 has 4 divisors (see below), whose sum is σ = 266016. Its totient is φ = 263520.

The previous prime is 264763. The next prime is 264769. The reversal of 264767 is 767462.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 264767 - 2² = 264763 is a prime.

It is a Duffinian 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 264767.

It is not an unprimeable number, because it can be changed into a prime (264763) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 218 + ... + 759.

It is an arithmetic number, because the mean of its divisors is an integer number (66504).

2²⁶⁴⁷⁶⁷ is an apocalyptic number.

264767 is a deficient number, since it is larger than the sum of its proper divisors (1249).

264767 is an equidigital number, since it uses as much as digits as its factorization.

264767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248.

The product of its digits is 14112, while the sum is 32.

The square root of 264767 is about 514.5551476761. Note that the first 3 decimals coincide. The cubic root of 264767 is about 64.2127522602.

The spelling of 264767 in words is "two hundred sixty-four thousand, seven hundred sixty-seven".