313434135 has 72 divisors (see below), whose sum is σ = 647586576. Its totient is φ = 139749120.

The previous prime is 313434119. The next prime is 313434157. The reversal of 313434135 is 531434313.

313434135 is a `hidden beast` number, since 313 + 4 + 341 + 3 + 5 = 666.

It is not a de Polignac number, because 313434135 - 2⁴ = 313434119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 313434099 and 313434108.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 88672 + ... + 92138.

It is an arithmetic number, because the mean of its divisors is an integer number (8994258).

Almost surely, 2^313434135 is an apocalyptic number.

313434135 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

313434135 is an abundant number, since it is smaller than the sum of its proper divisors (334152441).

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

313434135 is a wasteful number, since it uses less digits than its factorization.

313434135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3533 (or 3523 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 313434135 is about 17704.0711419718. The cubic root of 313434135 is about 679.2799001904.

Adding to 313434135 its reverse (531434313), we get a palindrome (844868448).

The spelling of 313434135 in words is "three hundred thirteen million, four hundred thirty-four thousand, one hundred thirty-five".