264625 has 16 divisors (see below), whose sum is σ = 346320. Its totient is φ = 201600.

The previous prime is 264619. The next prime is 264631. The reversal of 264625 is 526462.

264625 = T₄₆ + T₄₇ + ... + T₁₁₈.

It is an interprime number because it is at equal distance from previous prime (264619) and next prime (264631).

It can be written as a sum of positive squares in 8 ways, for example, as 74529 + 190096 = 273^2 + 436^2 .

It is not a de Polignac number, because 264625 - 2⁹ = 264113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a d-powerful number, because it can be written as 2¹⁷ + 6² + 6⁴ + 4⁵ + 2¹⁷ + 5³ .

264625 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 264625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3589 + ... + 3661.

It is an arithmetic number, because the mean of its divisors is an integer number (21645).

2²⁶⁴⁶²⁵ is an apocalyptic number.

264625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

264625 is a deficient number, since it is larger than the sum of its proper divisors (81695).

264625 is an equidigital number, since it uses as much as digits as its factorization.

264625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 107 counting only the distinct ones).

The product of its digits is 2880, while the sum is 25.

The square root of 264625 is about 514.4171459040. The cubic root of 264625 is about 64.2012706665.

264625 divided by its sum of digits (25) gives a triangular number (10585 = T₁₄₅).

The spelling of 264625 in words is "two hundred sixty-four thousand, six hundred twenty-five".