261417 has 8 divisors (see below), whose sum is σ = 375424. Its totient is φ = 160848.

The previous prime is 261407. The next prime is 261427. The reversal of 261417 is 714162.

It is an interprime number because it is at equal distance from previous prime (261407) and next prime (261427).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 261417 - 2⁶ = 261353 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 261393 and 261402.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 261417.

It is not an unprimeable number, because it can be changed into a prime (261407) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3313 + ... + 3390.

It is an arithmetic number, because the mean of its divisors is an integer number (46928).

2²⁶¹⁴¹⁷ is an apocalyptic number.

It is an amenable number.

261417 is a deficient number, since it is larger than the sum of its proper divisors (114007).

261417 is a wasteful number, since it uses less digits than its factorization.

261417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6719.

The product of its digits is 336, while the sum is 21.

The square root of 261417 is about 511.2895461478. The cubic root of 261417 is about 63.9407818118.

Adding to 261417 its reverse (714162), we get a palindrome (975579).

The spelling of 261417 in words is "two hundred sixty-one thousand, four hundred seventeen".