305313141 has 32 divisors (see below), whose sum is σ = 488448000. Its totient is φ = 165954240.

The previous prime is 305313133. The next prime is 305313157. The reversal of 305313141 is 141313503.

It is not a de Polignac number, because 305313141 - 2³ = 305313133 is a prime.

It is a super-2 number, since 2×305313141² = 186432228134571762, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305313121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34435 + ... + 42383.

It is an arithmetic number, because the mean of its divisors is an integer number (15264000).

Almost surely, 2^305313141 is an apocalyptic number.

305313141 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

305313141 is a deficient number, since it is larger than the sum of its proper divisors (183134859).

305313141 is a wasteful number, since it uses less digits than its factorization.

305313141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8049.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 305313141 is about 17473.2120973792. The cubic root of 305313141 is about 673.3618371480.

Adding to 305313141 its reverse (141313503), we get a palindrome (446626644).

The spelling of 305313141 in words is "three hundred five million, three hundred thirteen thousand, one hundred forty-one".