261116 has 12 divisors (see below), whose sum is σ = 472920. Its totient is φ = 126000.

The previous prime is 261101. The next prime is 261127. The reversal of 261116 is 611162.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 261094 and 261103.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 261116.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1010 + ... + 1241.

It is an arithmetic number, because the mean of its divisors is an integer number (39410).

2²⁶¹¹¹⁶ is an apocalyptic number.

It is an amenable number.

261116 is a deficient number, since it is larger than the sum of its proper divisors (211804).

261116 is a wasteful number, since it uses less digits than its factorization.

261116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2284 (or 2282 counting only the distinct ones).

The product of its digits is 72, while the sum is 17.

The square root of 261116 is about 510.9951076087. The cubic root of 261116 is about 63.9162315507.

Adding to 261116 its reverse (611162), we get a palindrome (872278).

It can be divided in two parts, 261 and 116, that multiplied together give a square (30276 = 174²).

The spelling of 261116 in words is "two hundred sixty-one thousand, one hundred sixteen".