51829 has 2 divisors, whose sum is σ = 51830. Its totient is φ = 51828.

The previous prime is 51827. The next prime is 51839. The reversal of 51829 is 92815.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 40804 + 11025 = 202^2 + 105^2 .

It is a cyclic number.

It is not a de Polignac number, because 51829 - 2¹ = 51827 is a prime.

Together with 51827, it forms a pair of twin primes.

It is a nialpdrome in base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (51827) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25914 + 25915.

It is an arithmetic number, because the mean of its divisors is an integer number (25915).

2⁵¹⁸²⁹ is an apocalyptic number.

It is an amenable number.

51829 is a deficient number, since it is larger than the sum of its proper divisors (1).

51829 is an equidigital number, since it uses as much as digits as its factorization.

51829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 720, while the sum is 25.

The square root of 51829 is about 227.6598339629. The cubic root of 51829 is about 37.2841525733.

The spelling of 51829 in words is "fifty-one thousand, eight hundred twenty-nine".