Search a number
-
+
137804221 is a prime number
BaseRepresentation
bin10000011011010…
…11100110111101
3100121022011212001
420031223212331
5240234213341
621401342301
73262213402
oct1015534675
9317264761
10137804221
1170872395
123a197991
132271ba79
14144322a9
15c170d31
hex836b9bd

137804221 has 2 divisors, whose sum is σ = 137804222. Its totient is φ = 137804220.

The previous prime is 137804189. The next prime is 137804257. The reversal of 137804221 is 122408731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 137804121 + 100 = 11739^2 + 10^2 .

It is a cyclic number.

It is not a de Polignac number, because 137804221 - 25 = 137804189 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137804221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137804921) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68902110 + 68902111.

It is an arithmetic number, because the mean of its divisors is an integer number (68902111).

Almost surely, 2137804221 is an apocalyptic number.

It is an amenable number.

137804221 is a deficient number, since it is larger than the sum of its proper divisors (1).

137804221 is an equidigital number, since it uses as much as digits as its factorization.

137804221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 137804221 is about 11739.0042593058. The cubic root of 137804221 is about 516.5204334447.

The spelling of 137804221 in words is "one hundred thirty-seven million, eight hundred four thousand, two hundred twenty-one".