462721 has 4 divisors (see below), whose sum is σ = 528832. Its totient is φ = 396612.

The previous prime is 462719. The next prime is 462727. The reversal of 462721 is 127264.

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 462721 - 2¹ = 462719 is a prime.

It is a super-2 number, since 2×462721² = 428221447682, which contains 22 as substring.

It is a Duffinian number.

462721 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 462692 and 462701.

It is not an unprimeable number, because it can be changed into a prime (462727) 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, 33045 + ... + 33058.

It is an arithmetic number, because the mean of its divisors is an integer number (132208).

2⁴⁶²⁷²¹ is an apocalyptic number.

It is an amenable number.

462721 is a deficient number, since it is larger than the sum of its proper divisors (66111).

462721 is an equidigital number, since it uses as much as digits as its factorization.

462721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66110.

The product of its digits is 672, while the sum is 22.

The square root of 462721 is about 680.2359884628. The cubic root of 462721 is about 77.3463344339.

Adding to 462721 its reverse (127264), we get a palindrome (589985).

The spelling of 462721 in words is "four hundred sixty-two thousand, seven hundred twenty-one".