305601 has 16 divisors (see below), whose sum is σ = 439296. Its totient is φ = 188496.

The previous prime is 305597. The next prime is 305603. The reversal of 305601 is 106503.

It is not a de Polignac number, because 305601 - 2² = 305597 is a prime.

305601 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (305603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2916 + ... + 3018.

It is an arithmetic number, because the mean of its divisors is an integer number (27456).

2³⁰⁵⁶⁰¹ is an apocalyptic number.

It is an amenable number.

305601 is a deficient number, since it is larger than the sum of its proper divisors (133695).

305601 is a wasteful number, since it uses less digits than its factorization.

305601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 305601 is about 552.8119029109. The cubic root of 305601 is about 67.3573393038.

The spelling of 305601 in words is "three hundred five thousand, six hundred one".