313433217 has 6 divisors (see below), whose sum is σ = 452736882. Its totient is φ = 208955472.

The previous prime is 313433209. The next prime is 313433227. The reversal of 313433217 is 712334313.

313433217 is a `hidden beast` number, since 3 + 13 + 433 + 217 = 666.

It can be written as a sum of positive squares in only one way, i.e., 227889216 + 85544001 = 15096^2 + 9249^2 .

It is not a de Polignac number, because 313433217 - 2³ = 313433209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313433227) 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 5 ways as a sum of consecutive naturals, for example, 17412948 + ... + 17412965.

It is an arithmetic number, because the mean of its divisors is an integer number (75456147).

Almost surely, 2^313433217 is an apocalyptic number.

It is an amenable number.

313433217 is a deficient number, since it is larger than the sum of its proper divisors (139303665).

313433217 is a wasteful number, since it uses less digits than its factorization.

313433217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34825919 (or 34825916 counting only the distinct ones).

The product of its digits is 4536, while the sum is 27.

The square root of 313433217 is about 17704.0452157127. The cubic root of 313433217 is about 679.2792370213.

The spelling of 313433217 in words is "three hundred thirteen million, four hundred thirty-three thousand, two hundred seventeen".