465221 has 8 divisors (see below), whose sum is σ = 492480. Its totient is φ = 438592.

The previous prime is 465211. The next prime is 465259. The reversal of 465221 is 122564.

It is a happy number.

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 465221 - 2¹⁰ = 464197 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 465193 and 465202.

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 465221.

It is not an unprimeable number, because it can be changed into a prime (465211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2510 + ... + 2688.

It is an arithmetic number, because the mean of its divisors is an integer number (61560).

2⁴⁶⁵²²¹ is an apocalyptic number.

It is an amenable number.

465221 is a deficient number, since it is larger than the sum of its proper divisors (27259).

465221 is a wasteful number, since it uses less digits than its factorization.

465221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315.

The product of its digits is 480, while the sum is 20.

The square root of 465221 is about 682.0711106622. The cubic root of 465221 is about 77.4853805237.

Adding to 465221 its reverse (122564), we get a palindrome (587785).

It can be divided in two parts, 465 and 221, that added together give a palindrome (686).

The spelling of 465221 in words is "four hundred sixty-five thousand, two hundred twenty-one".