413661 has 8 divisors (see below), whose sum is σ = 584064. Its totient is φ = 259520.

The previous prime is 413653. The next prime is 413681. The reversal of 413661 is 166314.

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

It is a cyclic number.

It is not a de Polignac number, because 413661 - 2³ = 413653 is a prime.

It is a super-2 number, since 2×413661² = 342230845842, which contains 22 as substring.

413661 is a lucky number.

It is a nialpdrome in base 14.

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 413661.

It is not an unprimeable number, because it can be changed into a prime (413681) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4005 + ... + 4106.

It is an arithmetic number, because the mean of its divisors is an integer number (73008).

2⁴¹³⁶⁶¹ is an apocalyptic number.

It is an amenable number.

413661 is a deficient number, since it is larger than the sum of its proper divisors (170403).

413661 is a wasteful number, since it uses less digits than its factorization.

413661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8131.

The product of its digits is 432, while the sum is 21.

The square root of 413661 is about 643.1648311281. The cubic root of 413661 is about 74.5100507438.

Adding to 413661 its reverse (166314), we get a palindrome (579975).

The spelling of 413661 in words is "four hundred thirteen thousand, six hundred sixty-one".