261547 has 16 divisors (see below), whose sum is σ = 322560. Its totient is φ = 208800.

The previous prime is 261529. The next prime is 261557. The reversal of 261547 is 745162.

It is a cyclic number.

It is not a de Polignac number, because 261547 - 2¹¹ = 259499 is a prime.

It is an Ulam number.

It is a Duffinian number.

261547 is a lucky number.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (261557) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4404 + ... + 4462.

It is an arithmetic number, because the mean of its divisors is an integer number (20160).

2²⁶¹⁵⁴⁷ is an apocalyptic number.

261547 is a deficient number, since it is larger than the sum of its proper divisors (61013).

261547 is a wasteful number, since it uses less digits than its factorization.

261547 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114.

The product of its digits is 1680, while the sum is 25.

The square root of 261547 is about 511.4166598772. The cubic root of 261547 is about 63.9513790876.

It can be divided in two parts, 2615 and 47, that added together give a palindrome (2662).

The spelling of 261547 in words is "two hundred sixty-one thousand, five hundred forty-seven".