313470 has 56 divisors (see below), whose sum is σ = 865656. Its totient is φ = 81648.

The previous prime is 313409. The next prime is 313471. The reversal of 313470 is 74313.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313470.

It is not an unprimeable number, because it can be changed into a prime (313471) by changing a digit.

313470 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7269 + ... + 7311.

313470 is a Friedman number, since it can be written as 430*3^(7-1), using all its digits and the basic arithmetic operations.

2³¹³⁴⁷⁰ is an apocalyptic number.

313470 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 313470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432828).

313470 is an abundant number, since it is smaller than the sum of its proper divisors (552186).

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

313470 is an equidigital number, since it uses as much as digits as its factorization.

313470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 313470 is about 559.8839165398. The cubic root of 313470 is about 67.9305808286.

Adding to 313470 its reverse (74313), we get a palindrome (387783).

The spelling of 313470 in words is "three hundred thirteen thousand, four hundred seventy".