305964681 has 32 divisors (see below), whose sum is σ = 455735808. Its totient is φ = 181031040.

The previous prime is 305964667. The next prime is 305964713. The reversal of 305964681 is 186469503.

It is not a de Polignac number, because 305964681 - 2¹⁴ = 305948297 is a prime.

It is a super-2 number, since 2×305964681² = 187228772038863522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (305964611) 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 31 ways as a sum of consecutive naturals, for example, 257170 + ... + 258356.

It is an arithmetic number, because the mean of its divisors is an integer number (14241744).

Almost surely, 2^305964681 is an apocalyptic number.

It is an amenable number.

305964681 is a deficient number, since it is larger than the sum of its proper divisors (149771127).

305964681 is a wasteful number, since it uses less digits than its factorization.

305964681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381.

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 305964681 is about 17491.8461289825. The cubic root of 305964681 is about 673.8404828436.

The spelling of 305964681 in words is "three hundred five million, nine hundred sixty-four thousand, six hundred eighty-one".