264735 has 32 divisors (see below), whose sum is σ = 492480. Its totient is φ = 134784.

The previous prime is 264731. The next prime is 264739. The reversal of 264735 is 537462.

264735 = 43² + 44² + ... + 95².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (264731) and next prime (264739).

It is not a de Polignac number, because 264735 - 2² = 264731 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 2⁹ + 6⁴ + 7² + 4⁹ + 3⁶ + 5 .

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 264699 and 264708.

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 264735.

It is not an unprimeable number, because it can be changed into a prime (264731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4969 + ... + 5021.

It is an arithmetic number, because the mean of its divisors is an integer number (15390).

2²⁶⁴⁷³⁵ is an apocalyptic number.

264735 is a deficient number, since it is larger than the sum of its proper divisors (227745).

264735 is a wasteful number, since it uses less digits than its factorization.

264735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 98 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 264735 is about 514.5240519159. The cubic root of 264735 is about 64.2101652172.

It can be divided in two parts, 264 and 735, that added together give a palindrome (999).

The spelling of 264735 in words is "two hundred sixty-four thousand, seven hundred thirty-five".