465921 has 6 divisors (see below), whose sum is σ = 673010. Its totient is φ = 310608.

The previous prime is 465917. The next prime is 465929. The reversal of 465921 is 129564.

465921 is a `hidden beast` number, since 4 + 659 + 2 + 1 = 666.

465921 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 408321 + 57600 = 639^2 + 240^2 .

It is not a de Polignac number, because 465921 - 2² = 465917 is a prime.

It is a Duffinian number.

465921 is strictly pandigital in base 7.

It is not an unprimeable number, because it can be changed into a prime (465929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25876 + ... + 25893.

It is a Proth number, since it is equal to 455 ⋅ 2¹⁰ + 1 and 455 < 2¹⁰.

2⁴⁶⁵⁹²¹ is an apocalyptic number.

It is an amenable number.

465921 is a deficient number, since it is larger than the sum of its proper divisors (207089).

465921 is a wasteful number, since it uses less digits than its factorization.

465921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51775 (or 51772 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 465921 is about 682.5840607574. The cubic root of 465921 is about 77.5242241306.

Subtracting from 465921 its product of digits (2160), we obtain a square (463761 = 681²).

The spelling of 465921 in words is "four hundred sixty-five thousand, nine hundred twenty-one".