Search a number
-
+
36137929 is a prime number
BaseRepresentation
bin1000100111011…
…0101111001001
32111222222220211
42021312233021
533222403204
63330321121
7616111252
oct211665711
974888824
1036137929
1119442a63
12101291a1
1376439b9
144b29b29
15328c804
hex2276bc9

36137929 has 2 divisors, whose sum is σ = 36137930. Its totient is φ = 36137928.

The previous prime is 36137923. The next prime is 36137953. The reversal of 36137929 is 92973163.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21902400 + 14235529 = 4680^2 + 3773^2 .

It is an emirp because it is prime and its reverse (92973163) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36137929 - 23 = 36137921 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36137891 and 36137900.

It is not a weakly prime, because it can be changed into another prime (36137921) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18068964 + 18068965.

It is an arithmetic number, because the mean of its divisors is an integer number (18068965).

Almost surely, 236137929 is an apocalyptic number.

It is an amenable number.

36137929 is a deficient number, since it is larger than the sum of its proper divisors (1).

36137929 is an equidigital number, since it uses as much as digits as its factorization.

36137929 is an evil number, because the sum of its binary digits is even.

The product of its digits is 61236, while the sum is 40.

The square root of 36137929 is about 6011.4830948777. The cubic root of 36137929 is about 330.6138833316.

It can be divided in two parts, 3613792 and 9, that added together give a square (3613801 = 19012).

The spelling of 36137929 in words is "thirty-six million, one hundred thirty-seven thousand, nine hundred twenty-nine".