51929 has 2 divisors, whose sum is σ = 51930. Its totient is φ = 51928.

The previous prime is 51913. The next prime is 51941. The reversal of 51929 is 92915.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51529 + 400 = 227^2 + 20^2 .

It is a cyclic number.

It is not a de Polignac number, because 51929 - 2⁴ = 51913 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 51898 and 51907.

It is not a weakly prime, because it can be changed into another prime (51949) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25964 + 25965.

It is an arithmetic number, because the mean of its divisors is an integer number (25965).

2⁵¹⁹²⁹ is an apocalyptic number.

It is an amenable number.

51929 is a deficient number, since it is larger than the sum of its proper divisors (1).

51929 is an equidigital number, since it uses as much as digits as its factorization.

51929 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 810, while the sum is 26.

The square root of 51929 is about 227.8793540451. The cubic root of 51929 is about 37.3081161197.

It can be divided in two parts, 519 and 29, that multiplied together give a palindrome (15051).

The spelling of 51929 in words is "fifty-one thousand, nine hundred twenty-nine".