459521 has 2 divisors, whose sum is σ = 459522. Its totient is φ = 459520.

The previous prime is 459509. The next prime is 459523. The reversal of 459521 is 125954.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 287296 + 172225 = 536^2 + 415^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-459521 is a prime.

It is a super-2 number, since 2×459521² = 422319098882, which contains 22 as substring.

Together with 459523, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (459523) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 229760 + 229761.

It is an arithmetic number, because the mean of its divisors is an integer number (229761).

2⁴⁵⁹⁵²¹ is an apocalyptic number.

It is an amenable number.

459521 is a deficient number, since it is larger than the sum of its proper divisors (1).

459521 is an equidigital number, since it uses as much as digits as its factorization.

459521 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1800, while the sum is 26.

The square root of 459521 is about 677.8797828524. The cubic root of 459521 is about 77.1676226907.

The spelling of 459521 in words is "four hundred fifty-nine thousand, five hundred twenty-one".