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137873 is a prime number
BaseRepresentation
bin100001101010010001
321000010102
4201222101
513402443
62542145
71112651
oct415221
9230112
10137873
119464a
1267955
134a9a8
1438361
152acb8
hex21a91

137873 has 2 divisors, whose sum is σ = 137874. Its totient is φ = 137872.

The previous prime is 137869. The next prime is 137909. The reversal of 137873 is 378731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71824 + 66049 = 268^2 + 257^2 .

It is a cyclic number.

It is not a de Polignac number, because 137873 - 22 = 137869 is a prime.

It is not a weakly prime, because it can be changed into another prime (137803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68936 + 68937.

It is an arithmetic number, because the mean of its divisors is an integer number (68937).

2137873 is an apocalyptic number.

It is an amenable number.

137873 is a deficient number, since it is larger than the sum of its proper divisors (1).

137873 is an equidigital number, since it uses as much as digits as its factorization.

137873 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3528, while the sum is 29.

The square root of 137873 is about 371.3125368204. The cubic root of 137873 is about 51.6606352076.

The spelling of 137873 in words is "one hundred thirty-seven thousand, eight hundred seventy-three".