263725 has 24 divisors (see below), whose sum is σ = 410688. Its totient is φ = 163200.

The previous prime is 263723. The next prime is 263729. The reversal of 263725 is 527362.

It is not a de Polignac number, because 263725 - 2¹ = 263723 is a prime.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

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 2² + 6³ + 7 + 3⁶ + 2¹⁸ + 5⁴ .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 263725.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263723) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1857 + ... + 1993.

It is an arithmetic number, because the mean of its divisors is an integer number (17112).

2²⁶³⁷²⁵ is an apocalyptic number.

263725 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

263725 is a deficient number, since it is larger than the sum of its proper divisors (146963).

263725 is a wasteful number, since it uses less digits than its factorization.

263725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 160 counting only the distinct ones).

The product of its digits is 2520, while the sum is 25.

The square root of 263725 is about 513.5416244084. The cubic root of 263725 is about 64.1284043173.

It can be divided in two parts, 2637 and 25, that added together give a palindrome (2662).

The spelling of 263725 in words is "two hundred sixty-three thousand, seven hundred twenty-five".