311712345 has 48 divisors (see below), whose sum is σ = 629171712. Its totient is φ = 139800960.

The previous prime is 311712343. The next prime is 311712403. The reversal of 311712345 is 543217113.

311712345 is a `hidden beast` number, since 311 + 7 + 1 + 2 + 345 = 666.

It is not a de Polignac number, because 311712345 - 2¹ = 311712343 is a prime.

It is not an unprimeable number, because it can be changed into a prime (311712343) 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 47 ways as a sum of consecutive naturals, for example, 7360 + ... + 26030.

It is an arithmetic number, because the mean of its divisors is an integer number (13107744).

Almost surely, 2^311712345 is an apocalyptic number.

311712345 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

311712345 is an abundant number, since it is smaller than the sum of its proper divisors (317459367).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

311712345 is a wasteful number, since it uses less digits than its factorization.

311712345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18742 (or 18739 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 311712345 is about 17655.3772262164. The cubic root of 311712345 is about 678.0337845697.

Adding to 311712345 its reverse (543217113), we get a palindrome (854929458).

The spelling of 311712345 in words is "three hundred eleven million, seven hundred twelve thousand, three hundred forty-five".