261732 has 24 divisors (see below), whose sum is σ = 647136. Its totient is φ = 82048.

The previous prime is 261721. The next prime is 261739. The reversal of 261732 is 237162.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 261699 and 261708.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 261732.

It is not an unprimeable number, because it can be changed into a prime (261739) by changing a digit.

261732 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 438 + ... + 845.

It is an arithmetic number, because the mean of its divisors is an integer number (26964).

2²⁶¹⁷³² is an apocalyptic number.

It is an amenable number.

261732 is an abundant number, since it is smaller than the sum of its proper divisors (385404).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

261732 is a wasteful number, since it uses less digits than its factorization.

261732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307 (or 1305 counting only the distinct ones).

The product of its digits is 504, while the sum is 21.

The square root of 261732 is about 511.5974980392. The cubic root of 261732 is about 63.9664537737.

Adding to 261732 its reverse (237162), we get a palindrome (498894).

The spelling of 261732 in words is "two hundred sixty-one thousand, seven hundred thirty-two".