305688131 has 16 divisors (see below), whose sum is σ = 369250560. Its totient is φ = 247212000.

The previous prime is 305688127. The next prime is 305688133. The reversal of 305688131 is 131886503.

It is not a de Polignac number, because 305688131 - 2² = 305688127 is a prime.

It is a super-2 number, since 2×305688131² = 186890466868546322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 305688091 and 305688100.

It is not an unprimeable number, because it can be changed into a prime (305688133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28805 + ... + 37961.

It is an arithmetic number, because the mean of its divisors is an integer number (23078160).

Almost surely, 2^305688131 is an apocalyptic number.

305688131 is a deficient number, since it is larger than the sum of its proper divisors (63562429).

305688131 is a wasteful number, since it uses less digits than its factorization.

305688131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9434.

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 305688131 is about 17483.9392300477. The cubic root of 305688131 is about 673.6374019322.

The spelling of 305688131 in words is "three hundred five million, six hundred eighty-eight thousand, one hundred thirty-one".