264825 has 36 divisors (see below), whose sum is σ = 522288. Its totient is φ = 127200.

The previous prime is 264811. The next prime is 264827. The reversal of 264825 is 528462.

It is not a de Polignac number, because 264825 - 2⁵ = 264793 is a prime.

It is a d-powerful number, because it can be written as 2 + 6 + 8⁶ + 4⁵ + 2¹⁰ + 5⁴ .

It is not an unprimeable number, because it can be changed into a prime (264827) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2422 + ... + 2528.

It is an arithmetic number, because the mean of its divisors is an integer number (14508).

2²⁶⁴⁸²⁵ is an apocalyptic number.

264825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

264825 is a deficient number, since it is larger than the sum of its proper divisors (257463).

264825 is a wasteful number, since it uses less digits than its factorization.

264825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 126 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 264825 is about 514.6115039523. The cubic root of 264825 is about 64.2174407444.

It can be divided in two parts, 264 and 825, that added together give a square (1089 = 33²).

The spelling of 264825 in words is "two hundred sixty-four thousand, eight hundred twenty-five".