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137927 is a prime number
BaseRepresentation
bin100001101011000111
321000012102
4201223013
513403202
62542315
71113056
oct415307
9230172
10137927
1194699
126799b
134aa1a
143839d
152ad02
hex21ac7

137927 has 2 divisors, whose sum is σ = 137928. Its totient is φ = 137926.

The previous prime is 137911. The next prime is 137933. The reversal of 137927 is 729731.

It is a happy number.

137927 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 137927 - 24 = 137911 is a prime.

It is a Chen prime.

It is a plaindrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 137927.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137947) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68963 + 68964.

It is an arithmetic number, because the mean of its divisors is an integer number (68964).

2137927 is an apocalyptic number.

137927 is a deficient number, since it is larger than the sum of its proper divisors (1).

137927 is an equidigital number, since it uses as much as digits as its factorization.

137927 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2646, while the sum is 29.

The square root of 137927 is about 371.3852447257. The cubic root of 137927 is about 51.6673788779.

The spelling of 137927 in words is "one hundred thirty-seven thousand, nine hundred twenty-seven".