313461333 has 20 divisors (see below), whose sum is σ = 471258700. Its totient is φ = 207643176.

The previous prime is 313461311. The next prime is 313461341. The reversal of 313461333 is 333164313.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

313461333 is a `hidden beast` number, since 3 + 13 + 4 + 613 + 33 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1656369 + 311804964 = 1287^2 + 17658^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=3, B=471.

It is not a de Polignac number, because 313461333 - 2⁵ = 313461301 is a prime.

It is a super-2 number, since 2×313461333² = 196516014572273778, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 313461297 and 313461306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313461833) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1996491 + ... + 1996647.

It is an arithmetic number, because the mean of its divisors is an integer number (23562935).

Almost surely, 2^313461333 is an apocalyptic number.

It is an amenable number.

313461333 is a deficient number, since it is larger than the sum of its proper divisors (157797367).

313461333 is an frugal number, since it uses more digits than its factorization.

313461333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 160 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

The square root of 313461333 is about 17704.8392537182. The cubic root of 313461333 is about 679.2995476148.

The spelling of 313461333 in words is "three hundred thirteen million, four hundred sixty-one thousand, three hundred thirty-three".