305217 has 12 divisors (see below), whose sum is σ = 481104. Its totient is φ = 184920.

The previous prime is 305209. The next prime is 305219. The reversal of 305217 is 712503.

305217 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 305217 - 2³ = 305209 is a prime.

305217 is strictly pandigital in base 7.

305217 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 305217.

It is not an unprimeable number, because it can be changed into a prime (305219) 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, 1443 + ... + 1640.

It is an arithmetic number, because the mean of its divisors is an integer number (40092).

2³⁰⁵²¹⁷ is an apocalyptic number.

It is an amenable number.

305217 is a deficient number, since it is larger than the sum of its proper divisors (175887).

305217 is a wasteful number, since it uses less digits than its factorization.

305217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3100 (or 3097 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 305217 is about 552.4644784961. The cubic root of 305217 is about 67.3291150730.

The spelling of 305217 in words is "three hundred five thousand, two hundred seventeen".