261132 has 24 divisors (see below), whose sum is σ = 623616. Its totient is φ = 85008.

The previous prime is 261127. The next prime is 261167. The reversal of 261132 is 231162.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 333 + ... + 795.

It is an arithmetic number, because the mean of its divisors is an integer number (25984).

2²⁶¹¹³² is an apocalyptic number.

It is an amenable number.

261132 is an abundant number, since it is smaller than the sum of its proper divisors (362484).

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

261132 is a wasteful number, since it uses less digits than its factorization.

261132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 515 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 261132 is about 511.0107630960. The cubic root of 261132 is about 63.9175370226.

Adding to 261132 its reverse (231162), we get a palindrome (492294).

It can be divided in two parts, 261 and 132, that added together give a palindrome (393).

The spelling of 261132 in words is "two hundred sixty-one thousand, one hundred thirty-two".