311413 has 4 divisors (see below), whose sum is σ = 314380. Its totient is φ = 308448.

The previous prime is 311407. The next prime is 311419. The reversal of 311413 is 314113.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (311407) and next prime (311419).

It can be written as a sum of positive squares in 2 ways, for example, as 213444 + 97969 = 462^2 + 313^2 .

It is a cyclic number.

It is not a de Polignac number, because 311413 - 2⁹ = 310901 is a prime.

It is an Ulam number.

It is a Duffinian number.

311413 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 311393 and 311402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311419) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1320 + ... + 1537.

It is an arithmetic number, because the mean of its divisors is an integer number (78595).

2³¹¹⁴¹³ is an apocalyptic number.

It is an amenable number.

311413 is a deficient number, since it is larger than the sum of its proper divisors (2967).

311413 is a wasteful number, since it uses less digits than its factorization.

311413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2966.

The product of its digits is 36, while the sum is 13.

The square root of 311413 is about 558.0439050827. The cubic root of 311413 is about 67.7816670905.

Adding to 311413 its reverse (314113), we get a palindrome (625526).

It can be divided in two parts, 31 and 1413, that added together give a square (1444 = 38²).

The spelling of 311413 in words is "three hundred eleven thousand, four hundred thirteen".