261725 has 18 divisors (see below), whose sum is σ = 354330. Its totient is φ = 191520.

The previous prime is 261721. The next prime is 261739. The reversal of 261725 is 527162.

It can be written as a sum of positive squares in 3 ways, for example, as 17689 + 244036 = 133^2 + 494^2 .

It is not a de Polignac number, because 261725 - 2² = 261721 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 261725.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261721) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9011 + ... + 9039.

It is an arithmetic number, because the mean of its divisors is an integer number (19685).

2²⁶¹⁷²⁵ is an apocalyptic number.

261725 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

261725 is a deficient number, since it is larger than the sum of its proper divisors (92605).

261725 is a wasteful number, since it uses less digits than its factorization.

261725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 53 counting only the distinct ones).

The product of its digits is 840, while the sum is 23.

The square root of 261725 is about 511.5906566778. The cubic root of 261725 is about 63.9658835095.

Adding to 261725 its reverse (527162), we get a palindrome (788887).

It can be divided in two parts, 261 and 725, that multiplied together give a square (189225 = 435²).

The spelling of 261725 in words is "two hundred sixty-one thousand, seven hundred twenty-five".