264125 has 8 divisors (see below), whose sum is σ = 329784. Its totient is φ = 211200.

The previous prime is 264113. The next prime is 264127. The reversal of 264125 is 521462.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 81796 + 182329 = 286^2 + 427^2 .

It is not a de Polignac number, because 264125 - 2⁸ = 263869 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 264097 and 264106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 932 + ... + 1181.

It is an arithmetic number, because the mean of its divisors is an integer number (41223).

2²⁶⁴¹²⁵ is an apocalyptic number.

264125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

264125 is a deficient number, since it is larger than the sum of its proper divisors (65659).

264125 is an equidigital number, since it uses as much as digits as its factorization.

264125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2128 (or 2118 counting only the distinct ones).

The product of its digits is 480, while the sum is 20.

The square root of 264125 is about 513.9309292113. The cubic root of 264125 is about 64.1608097951.

Adding to 264125 its reverse (521462), we get a palindrome (785587).

The spelling of 264125 in words is "two hundred sixty-four thousand, one hundred twenty-five".