261712 has 20 divisors (see below), whose sum is σ = 553536. Its totient is φ = 118880.

The previous prime is 261707. The next prime is 261713. The reversal of 261712 is 217162.

It is a nialpdrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 261712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 568 + ... + 919.

2²⁶¹⁷¹² is an apocalyptic number.

261712 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

261712 is an abundant number, since it is smaller than the sum of its proper divisors (291824).

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

261712 is a wasteful number, since it uses less digits than its factorization.

261712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 1500 counting only the distinct ones).

The product of its digits is 168, while the sum is 19.

The square root of 261712 is about 511.5779510495. The cubic root of 261712 is about 63.9648244204.

Adding to 261712 its reverse (217162), we get a palindrome (478874).

The spelling of 261712 in words is "two hundred sixty-one thousand, seven hundred twelve".