421617 has 16 divisors (see below), whose sum is σ = 680832. Its totient is φ = 226560.

The previous prime is 421609. The next prime is 421621. The reversal of 421617 is 716124.

It is not a de Polignac number, because 421617 - 2³ = 421609 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

421617 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 421593 and 421602.

It is not an unprimeable number, because it can be changed into a prime (421607) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234 + ... + 947.

It is an arithmetic number, because the mean of its divisors is an integer number (42552).

2⁴²¹⁶¹⁷ is an apocalyptic number.

It is an amenable number.

421617 is a deficient number, since it is larger than the sum of its proper divisors (259215).

421617 is a wasteful number, since it uses less digits than its factorization.

421617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208.

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

The square root of 421617 is about 649.3204139714. The cubic root of 421617 is about 74.9847079934.

It can be divided in two parts, 4 and 21617, that multiplied together give a palindrome (86468).

The spelling of 421617 in words is "four hundred twenty-one thousand, six hundred seventeen".