417661 has 4 divisors (see below), whose sum is σ = 424800. Its totient is φ = 410524.

The previous prime is 417649. The next prime is 417671. The reversal of 417661 is 166714.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 166714 = 2 ⋅83357.

It is a cyclic number.

It is not a de Polignac number, because 417661 - 2¹⁷ = 286589 is a prime.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417631) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3481 + ... + 3598.

It is an arithmetic number, because the mean of its divisors is an integer number (106200).

2⁴¹⁷⁶⁶¹ is an apocalyptic number.

It is an amenable number.

417661 is a deficient number, since it is larger than the sum of its proper divisors (7139).

417661 is an equidigital number, since it uses as much as digits as its factorization.

417661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7138.

The product of its digits is 1008, while the sum is 25.

The square root of 417661 is about 646.2669726978. The cubic root of 417661 is about 74.7494453787.

The spelling of 417661 in words is "four hundred seventeen thousand, six hundred sixty-one".