306829 has 2 divisors, whose sum is σ = 306830. Its totient is φ = 306828.

The previous prime is 306827. The next prime is 306847. The reversal of 306829 is 928603.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 202500 + 104329 = 450^2 + 323^2 .

It is a cyclic number.

It is not a de Polignac number, because 306829 - 2¹ = 306827 is a prime.

Together with 306827, it forms a pair of twin primes.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 306797 and 306806.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (306821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 153414 + 153415.

It is an arithmetic number, because the mean of its divisors is an integer number (153415).

2³⁰⁶⁸²⁹ is an apocalyptic number.

It is an amenable number.

306829 is a deficient number, since it is larger than the sum of its proper divisors (1).

306829 is an equidigital number, since it uses as much as digits as its factorization.

306829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 306829 is about 553.9214745792. The cubic root of 306829 is about 67.4474396503.

It can be divided in two parts, 30 and 6829, that added together give a cube (6859 = 19³).

The spelling of 306829 in words is "three hundred six thousand, eight hundred twenty-nine".