417561 has 4 divisors (see below), whose sum is σ = 556752. Its totient is φ = 278372.

The previous prime is 417559. The next prime is 417577. The reversal of 417561 is 165714.

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.

It is a cyclic number.

It is not a de Polignac number, because 417561 - 2¹ = 417559 is a prime.

It is a D-number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (417511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69591 + ... + 69596.

It is an arithmetic number, because the mean of its divisors is an integer number (139188).

2⁴¹⁷⁵⁶¹ is an apocalyptic number.

It is an amenable number.

417561 is a deficient number, since it is larger than the sum of its proper divisors (139191).

417561 is a wasteful number, since it uses less digits than its factorization.

417561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139190.

The product of its digits is 840, while the sum is 24.

The square root of 417561 is about 646.1896006591. The cubic root of 417561 is about 74.7434791835.

The spelling of 417561 in words is "four hundred seventeen thousand, five hundred sixty-one".