905413 has 2 divisors, whose sum is σ = 905414. Its totient is φ = 905412.

The previous prime is 905381. The next prime is 905449. The reversal of 905413 is 314509.

905413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 813604 + 91809 = 902^2 + 303^2 .

It is a cyclic number.

It is not a de Polignac number, because 905413 - 2⁵ = 905381 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (905453) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 452706 + 452707.

It is an arithmetic number, because the mean of its divisors is an integer number (452707).

2⁹⁰⁵⁴¹³ is an apocalyptic number.

It is an amenable number.

905413 is a deficient number, since it is larger than the sum of its proper divisors (1).

905413 is an equidigital number, since it uses as much as digits as its factorization.

905413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 905413 is about 951.5319227435. The cubic root of 905413 is about 96.7421144368.

The spelling of 905413 in words is "nine hundred five thousand, four hundred thirteen".