753409 has 2 divisors, whose sum is σ = 753410. Its totient is φ = 753408.

The previous prime is 753383. The next prime is 753421. The reversal of 753409 is 904357.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 748225 + 5184 = 865^2 + 72^2 .

It is an emirp because it is prime and its reverse (904357) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 753409 - 2¹⁷ = 622337 is a prime.

It is not a weakly prime, because it can be changed into another prime (753439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 376704 + 376705.

It is an arithmetic number, because the mean of its divisors is an integer number (376705).

2⁷⁵³⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

753409 is a deficient number, since it is larger than the sum of its proper divisors (1).

753409 is an equidigital number, since it uses as much as digits as its factorization.

753409 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 753409 is about 867.9913594040. The cubic root of 753409 is about 90.9934785811.

The spelling of 753409 in words is "seven hundred fifty-three thousand, four hundred nine".