901305 has 12 divisors (see below), whose sum is σ = 1562340. Its totient is φ = 480672.

The previous prime is 901279. The next prime is 901309. The reversal of 901305 is 503109.

901305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 278784 + 622521 = 528^2 + 789^2 .

It is not a de Polignac number, because 901305 - 2⁵ = 901273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (901309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9970 + ... + 10059.

It is an arithmetic number, because the mean of its divisors is an integer number (130195).

2⁹⁰¹³⁰⁵ is an apocalyptic number.

It is an amenable number.

901305 is a deficient number, since it is larger than the sum of its proper divisors (661035).

901305 is a wasteful number, since it uses less digits than its factorization.

901305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20040 (or 20037 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 901305 is about 949.3708442964. The cubic root of 901305 is about 96.5955812441.

The spelling of 901305 in words is "nine hundred one thousand, three hundred five".