417921 has 12 divisors (see below), whose sum is σ = 648432. Its totient is φ = 238728.

The previous prime is 417899. The next prime is 417931. The reversal of 417921 is 129714.

It is not a de Polignac number, because 417921 - 2⁷ = 417793 is a prime.

417921 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 417891 and 417900.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 417921.

It is not an unprimeable number, because it can be changed into a prime (417931) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1275 + ... + 1568.

It is an arithmetic number, because the mean of its divisors is an integer number (54036).

2⁴¹⁷⁹²¹ is an apocalyptic number.

It is an amenable number.

417921 is a deficient number, since it is larger than the sum of its proper divisors (230511).

417921 is a wasteful number, since it uses less digits than its factorization.

417921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2860 (or 2853 counting only the distinct ones).

The product of its digits is 504, while the sum is 24.

The square root of 417921 is about 646.4680966606. The cubic root of 417921 is about 74.7649530307.

The spelling of 417921 in words is "four hundred seventeen thousand, nine hundred twenty-one".