Search a number
-
+
128237 is a prime number
BaseRepresentation
bin11111010011101101
320111220112
4133103231
513100422
62425405
71042604
oct372355
9214815
10128237
118838a
1262265
13464a5
1434a3b
1527ee2
hex1f4ed

128237 has 2 divisors, whose sum is σ = 128238. Its totient is φ = 128236.

The previous prime is 128221. The next prime is 128239. The reversal of 128237 is 732821.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90601 + 37636 = 301^2 + 194^2 .

It is a cyclic number.

It is not a de Polignac number, because 128237 - 24 = 128221 is a prime.

Together with 128239, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 128237.

It is not a weakly prime, because it can be changed into another prime (128239) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 64118 + 64119.

It is an arithmetic number, because the mean of its divisors is an integer number (64119).

2128237 is an apocalyptic number.

It is an amenable number.

128237 is a deficient number, since it is larger than the sum of its proper divisors (1).

128237 is an equidigital number, since it uses as much as digits as its factorization.

128237 is an evil number, because the sum of its binary digits is even.

The product of its digits is 672, while the sum is 23.

The square root of 128237 is about 358.1019407934. The cubic root of 128237 is about 50.4279271193.

The spelling of 128237 in words is "one hundred twenty-eight thousand, two hundred thirty-seven".