313829 has 2 divisors, whose sum is σ = 313830. Its totient is φ = 313828.

The previous prime is 313783. The next prime is 313849. The reversal of 313829 is 928313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 277729 + 36100 = 527^2 + 190^2 .

It is an emirp because it is prime and its reverse (928313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 313829 - 2¹⁶ = 248293 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 313798 and 313807.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313849) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156914 + 156915.

It is an arithmetic number, because the mean of its divisors is an integer number (156915).

2³¹³⁸²⁹ is an apocalyptic number.

It is an amenable number.

313829 is a deficient number, since it is larger than the sum of its proper divisors (1).

313829 is an equidigital number, since it uses as much as digits as its factorization.

313829 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1296, while the sum is 26.

The square root of 313829 is about 560.2044269729. The cubic root of 313829 is about 67.9565033248.

The spelling of 313829 in words is "three hundred thirteen thousand, eight hundred twenty-nine".