261219 has 12 divisors (see below), whose sum is σ = 405384. Its totient is φ = 149184.

The previous prime is 261169. The next prime is 261223. The reversal of 261219 is 912162.

It is not a de Polignac number, because 261219 - 2¹² = 257123 is a prime.

It is a super-2 number, since 2×261219² = 136470731922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

261219 is a lucky number.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 261195 and 261204.

It is not an unprimeable number, because it can be changed into a prime (261229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 742 + ... + 1035.

It is an arithmetic number, because the mean of its divisors is an integer number (33782).

2²⁶¹²¹⁹ is an apocalyptic number.

261219 is a deficient number, since it is larger than the sum of its proper divisors (144165).

261219 is a wasteful number, since it uses less digits than its factorization.

261219 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1794 (or 1787 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

The square root of 261219 is about 511.0958814156. The cubic root of 261219 is about 63.9246345930.

Subtracting from 261219 its product of digits (216), we obtain a triangular number (261003 = T₇₂₂).

The spelling of 261219 in words is "two hundred sixty-one thousand, two hundred nineteen".