313146 has 20 divisors (see below), whose sum is σ = 702042. Its totient is φ = 104328.

The previous prime is 313133. The next prime is 313147. The reversal of 313146 is 641313.

It can be written as a sum of positive squares in only one way, i.e., 245025 + 68121 = 495^2 + 261^2 .

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313146.

It is not an unprimeable number, because it can be changed into a prime (313147) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 805 + ... + 1128.

2³¹³¹⁴⁶ is an apocalyptic number.

313146 is an abundant number, since it is smaller than the sum of its proper divisors (388896).

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

313146 is a wasteful number, since it uses less digits than its factorization.

313146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1947 (or 1938 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 313146 is about 559.5944960416. The cubic root of 313146 is about 67.9071685983.

Adding to 313146 its reverse (641313), we get a palindrome (954459).

The spelling of 313146 in words is "three hundred thirteen thousand, one hundred forty-six".