305413 has 2 divisors, whose sum is σ = 305414. Its totient is φ = 305412.

The previous prime is 305411. The next prime is 305419. The reversal of 305413 is 314503.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 191844 + 113569 = 438^2 + 337^2 .

It is a cyclic number.

It is not a de Polignac number, because 305413 - 2¹ = 305411 is a prime.

Together with 305411, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (305411) 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 as a sum of consecutive naturals, namely, 152706 + 152707.

It is an arithmetic number, because the mean of its divisors is an integer number (152707).

2³⁰⁵⁴¹³ is an apocalyptic number.

It is an amenable number.

305413 is a deficient number, since it is larger than the sum of its proper divisors (1).

305413 is an equidigital number, since it uses as much as digits as its factorization.

305413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 305413 is about 552.6418369975. The cubic root of 305413 is about 67.3435241468.

Adding to 305413 its reverse (314503), we get a palindrome (619916).

The spelling of 305413 in words is "three hundred five thousand, four hundred thirteen".