305257047 has 16 divisors (see below), whose sum is σ = 412636512. Its totient is φ = 200707200.

The previous prime is 305257039. The next prime is 305257063. The reversal of 305257047 is 740752503.

It is not a de Polignac number, because 305257047 - 2³ = 305257039 is a prime.

It is a super-3 number, since 3×305257047³ (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 305256999 and 305257017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305257087) 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, 82113 + ... + 85749.

It is an arithmetic number, because the mean of its divisors is an integer number (25789782).

Almost surely, 2^305257047 is an apocalyptic number.

305257047 is a deficient number, since it is larger than the sum of its proper divisors (107379465).

305257047 is a wasteful number, since it uses less digits than its factorization.

305257047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4018.

The product of its (nonzero) digits is 29400, while the sum is 33.

The square root of 305257047 is about 17471.6068808796. The cubic root of 305257047 is about 673.3205965688.

The spelling of 305257047 in words is "three hundred five million, two hundred fifty-seven thousand, forty-seven".