261415 has 24 divisors (see below), whose sum is σ = 402192. Its totient is φ = 161280.

The previous prime is 261407. The next prime is 261427. The reversal of 261415 is 514162.

It is not a de Polignac number, because 261415 - 2³ = 261407 is a prime.

Its product of digits (240) is a multiple of the sum of its prime divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 261392 and 261401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2647 + ... + 2743.

It is an arithmetic number, because the mean of its divisors is an integer number (16758).

2²⁶¹⁴¹⁵ is an apocalyptic number.

261415 is a deficient number, since it is larger than the sum of its proper divisors (140777).

261415 is a wasteful number, since it uses less digits than its factorization.

261415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 120 counting only the distinct ones).

The product of its digits is 240, while the sum is 19.

The square root of 261415 is about 511.2875903051. The cubic root of 261415 is about 63.9406187493.

Adding to 261415 its reverse (514162), we get a palindrome (775577).

It can be divided in two parts, 261 and 415, that added together give a palindrome (676).

The spelling of 261415 in words is "two hundred sixty-one thousand, four hundred fifteen".