261700 has 18 divisors (see below), whose sum is σ = 568106. Its totient is φ = 104640.

The previous prime is 261697. The next prime is 261707. The reversal of 261700 is 7162.

It can be written as a sum of positive squares in 3 ways, for example, as 75076 + 186624 = 274^2 + 432^2 .

It is not an unprimeable number, because it can be changed into a prime (261707) 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 5 ways as a sum of consecutive naturals, for example, 1209 + ... + 1408.

2²⁶¹⁷⁰⁰ is an apocalyptic number.

261700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261700 is an abundant number, since it is smaller than the sum of its proper divisors (306406).

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

261700 is a wasteful number, since it uses less digits than its factorization.

261700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2631 (or 2624 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 261700 is about 511.5662224971. The cubic root of 261700 is about 63.9638467686.

Adding to 261700 its reverse (7162), we get a palindrome (268862).

It can be divided in two parts, 261 and 700, that added together give a square (961 = 31²).

The spelling of 261700 in words is "two hundred sixty-one thousand, seven hundred".