261825 has 12 divisors (see below), whose sum is σ = 433008. Its totient is φ = 139600.

The previous prime is 261823. The next prime is 261847. The reversal of 261825 is 528162.

It is not a de Polignac number, because 261825 - 2¹ = 261823 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 261795 and 261804.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 261825.

It is not an unprimeable number, because it can be changed into a prime (261823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1671 + ... + 1820.

It is an arithmetic number, because the mean of its divisors is an integer number (36084).

2²⁶¹⁸²⁵ is an apocalyptic number.

261825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

261825 is a deficient number, since it is larger than the sum of its proper divisors (171183).

261825 is a wasteful number, since it uses less digits than its factorization.

261825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3504 (or 3499 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 261825 is about 511.6883817325. The cubic root of 261825 is about 63.9740291762.

Adding to 261825 its reverse (528162), we get a palindrome (789987).

The spelling of 261825 in words is "two hundred sixty-one thousand, eight hundred twenty-five".