313461 has 12 divisors (see below), whose sum is σ = 468780. Its totient is φ = 201600.

The previous prime is 313409. The next prime is 313471. The reversal of 313461 is 164313.

313461 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 2 ways, for example, as 53361 + 260100 = 231^2 + 510^2 .

It is not a de Polignac number, because 313461 - 2⁷ = 313333 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 340 + ... + 861.

It is an arithmetic number, because the mean of its divisors is an integer number (39065).

2³¹³⁴⁶¹ is an apocalyptic number.

It is an amenable number.

313461 is a deficient number, since it is larger than the sum of its proper divisors (155319).

313461 is a wasteful number, since it uses less digits than its factorization.

313461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1233 counting only the distinct ones).

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

The square root of 313461 is about 559.8758791018. The cubic root of 313461 is about 67.9299307067.

Adding to 313461 its reverse (164313), we get a palindrome (477774).

The spelling of 313461 in words is "three hundred thirteen thousand, four hundred sixty-one".