311680047 has 64 divisors (see below), whose sum is σ = 517017600. Its totient is φ = 163088640.

The previous prime is 311680037. The next prime is 311680051. The reversal of 311680047 is 740086113.

It is a happy number.

It is not a de Polignac number, because 311680047 - 2¹⁰ = 311679023 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 311679996 and 311680023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311680007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2379172 + ... + 2379302.

It is an arithmetic number, because the mean of its divisors is an integer number (8078400).

Almost surely, 2^311680047 is an apocalyptic number.

311680047 is a deficient number, since it is larger than the sum of its proper divisors (205337553).

311680047 is a wasteful number, since it uses less digits than its factorization.

311680047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316.

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 311680047 is about 17654.4625236794. The cubic root of 311680047 is about 678.0103656580.

The spelling of 311680047 in words is "three hundred eleven million, six hundred eighty thousand, forty-seven".