409573 has 2 divisors, whose sum is σ = 409574. Its totient is φ = 409572.

The previous prime is 409543. The next prime is 409579. The reversal of 409573 is 375904.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 209764 + 199809 = 458^2 + 447^2 .

It is a cyclic number.

It is not a de Polignac number, because 409573 - 2¹³ = 401381 is a prime.

It is a plaindrome in base 13.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (409579) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204786 + 204787.

It is an arithmetic number, because the mean of its divisors is an integer number (204787).

2⁴⁰⁹⁵⁷³ is an apocalyptic number.

It is an amenable number.

409573 is a deficient number, since it is larger than the sum of its proper divisors (1).

409573 is an equidigital number, since it uses as much as digits as its factorization.

409573 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 409573 is about 639.9789059024. The cubic root of 409573 is about 74.2637894934.

The spelling of 409573 in words is "four hundred nine thousand, five hundred seventy-three".