51229 has 2 divisors, whose sum is σ = 51230. Its totient is φ = 51228.

The previous prime is 51217. The next prime is 51239. The reversal of 51229 is 92215.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36100 + 15129 = 190^2 + 123^2 .

It is a cyclic number.

It is not a de Polignac number, because 51229 - 2⁵ = 51197 is a prime.

It is a super-3 number, since 3×51229³ = 403337767445967, which contains 333 as substring.

It is a Chen prime.

51229 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (51239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25614 + 25615.

It is an arithmetic number, because the mean of its divisors is an integer number (25615).

2⁵¹²²⁹ is an apocalyptic number.

It is an amenable number.

51229 is a deficient number, since it is larger than the sum of its proper divisors (1).

51229 is an equidigital number, since it uses as much as digits as its factorization.

51229 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 180, while the sum is 19.

The square root of 51229 is about 226.3382424603. The cubic root of 51229 is about 37.1397200788.

The spelling of 51229 in words is "fifty-one thousand, two hundred twenty-nine".