30509 has 2 divisors, whose sum is σ = 30510. Its totient is φ = 30508.

The previous prime is 30497. The next prime is 30517. The reversal of 30509 is 90503.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15625 + 14884 = 125^2 + 122^2 .

It is a cyclic number.

It is not a de Polignac number, because 30509 - 2⁴ = 30493 is a prime.

It is a Chen prime.

It is an alternating number because its digits alternate between odd and even.

It is a zygodrome in base 3.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (30529) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15254 + 15255.

It is an arithmetic number, because the mean of its divisors is an integer number (15255).

2³⁰⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

30509 is a deficient number, since it is larger than the sum of its proper divisors (1).

30509 is an equidigital number, since it uses as much as digits as its factorization.

30509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 135, while the sum is 17.

The square root of 30509 is about 174.6682569902. The cubic root of 30509 is about 31.2470717256.

The spelling of 30509 in words is "thirty thousand, five hundred nine".