30829 has 2 divisors, whose sum is σ = 30830. Its totient is φ = 30828.

The previous prime is 30817. The next prime is 30839. The reversal of 30829 is 92803.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29929 + 900 = 173^2 + 30^2 .

It is a cyclic number.

It is not a de Polignac number, because 30829 - 2¹³ = 22637 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (30809) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15414 + 15415.

It is an arithmetic number, because the mean of its divisors is an integer number (15415).

2³⁰⁸²⁹ is an apocalyptic number.

It is an amenable number.

30829 is a deficient number, since it is larger than the sum of its proper divisors (1).

30829 is an equidigital number, since it uses as much as digits as its factorization.

30829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 30829 is about 175.5818897267. The cubic root of 30829 is about 31.3559391217.

The spelling of 30829 in words is "thirty thousand, eight hundred twenty-nine".