261414 has 32 divisors (see below), whose sum is σ = 599040. Its totient is φ = 84456.

The previous prime is 261407. The next prime is 261427. The reversal of 261414 is 414162.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

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 261414.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2487 + ... + 2589.

It is an arithmetic number, because the mean of its divisors is an integer number (18720).

2²⁶¹⁴¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299520).

261414 is an abundant number, since it is smaller than the sum of its proper divisors (337626).

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

261414 is a wasteful number, since it uses less digits than its factorization.

261414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 155 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 261414 is about 511.2866123810. The cubic root of 261414 is about 63.9405372178.

Adding to 261414 its reverse (414162), we get a palindrome (675576).

It can be divided in two parts, 2614 and 14, that added together give a triangular number (2628 = T₇₂).

The spelling of 261414 in words is "two hundred sixty-one thousand, four hundred fourteen".