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893123137 is a prime number
BaseRepresentation
bin110101001110111…
…111101001000001
32022020120100121201
4311032333221001
53312114420022
6224342421201
731063264354
oct6516775101
92266510551
10893123137
114191656a5
1220b131801
1311305953a
148688a29b
155361e127
hex353bfa41

893123137 has 2 divisors, whose sum is σ = 893123138. Its totient is φ = 893123136.

The previous prime is 893123107. The next prime is 893123149. The reversal of 893123137 is 731321398.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 760435776 + 132687361 = 27576^2 + 11519^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-893123137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 893123096 and 893123105.

It is not a weakly prime, because it can be changed into another prime (893123107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 446561568 + 446561569.

It is an arithmetic number, because the mean of its divisors is an integer number (446561569).

Almost surely, 2893123137 is an apocalyptic number.

It is an amenable number.

893123137 is a deficient number, since it is larger than the sum of its proper divisors (1).

893123137 is an equidigital number, since it uses as much as digits as its factorization.

893123137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 27216, while the sum is 37.

The square root of 893123137 is about 29885.1658352434. The cubic root of 893123137 is about 963.0240063862.

The spelling of 893123137 in words is "eight hundred ninety-three million, one hundred twenty-three thousand, one hundred thirty-seven".