261114 has 16 divisors (see below), whose sum is σ = 596928. Its totient is φ = 74592.

The previous prime is 261101. The next prime is 261127. The reversal of 261114 is 411162.

It is an interprime number because it is at equal distance from previous prime (261101) and next prime (261127).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 261093 and 261102.

It is a congruent number.

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, 3067 + ... + 3150.

It is an arithmetic number, because the mean of its divisors is an integer number (37308).

2²⁶¹¹¹⁴ is an apocalyptic number.

261114 is an abundant number, since it is smaller than the sum of its proper divisors (335814).

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

261114 is a wasteful number, since it uses less digits than its factorization.

261114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6229.

The product of its digits is 48, while the sum is 15.

The square root of 261114 is about 510.9931506390. The cubic root of 261114 is about 63.9160683629.

Adding to 261114 its product of digits (48), we get a palindrome (261162).

Adding to 261114 its reverse (411162), we get a palindrome (672276).

It can be divided in two parts, 2 and 61114, that added together give a palindrome (61116).

The spelling of 261114 in words is "two hundred sixty-one thousand, one hundred fourteen".