Search a number
-
+
129937 is a prime number
BaseRepresentation
bin11111101110010001
320121020111
4133232101
513124222
62441321
71050553
oct375621
9217214
10129937
1189695
1263241
13471b2
14354d3
1528777
hex1fb91

129937 has 2 divisors, whose sum is σ = 129938. Its totient is φ = 129936.

The previous prime is 129919. The next prime is 129953. The reversal of 129937 is 739921.

It can be divided in two parts, 12993 and 7, that multiplied together give a triangular number (90951 = T426).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103041 + 26896 = 321^2 + 164^2 .

It is a cyclic number.

It is not a de Polignac number, because 129937 - 215 = 97169 is a prime.

It is a Chen prime.

129937 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 129899 and 129908.

It is not a weakly prime, because it can be changed into another prime (129917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 64968 + 64969.

It is an arithmetic number, because the mean of its divisors is an integer number (64969).

2129937 is an apocalyptic number.

It is an amenable number.

129937 is a deficient number, since it is larger than the sum of its proper divisors (1).

129937 is an equidigital number, since it uses as much as digits as its factorization.

129937 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3402, while the sum is 31.

The square root of 129937 is about 360.4677516783. The cubic root of 129937 is about 50.6497856582.

The spelling of 129937 in words is "one hundred twenty-nine thousand, nine hundred thirty-seven".