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82914137 is a prime number
BaseRepresentation
bin1001111000100…
…10101101011001
312210000110210222
410330102231121
5132211223022
612121045425
72024521115
oct474225531
9183013728
1082914137
1142891689
1223926875
1314240927
14b024745
15742c242
hex4f12b59

82914137 has 2 divisors, whose sum is σ = 82914138. Its totient is φ = 82914136.

The previous prime is 82914127. The next prime is 82914173. The reversal of 82914137 is 73141928.

Together with next prime (82914173) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50069776 + 32844361 = 7076^2 + 5731^2 .

It is a cyclic number.

It is not a de Polignac number, because 82914137 - 24 = 82914121 is a prime.

It is a super-2 number, since 2×829141372 = 13749508228909538, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82914097 and 82914106.

It is not a weakly prime, because it can be changed into another prime (82914127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41457068 + 41457069.

It is an arithmetic number, because the mean of its divisors is an integer number (41457069).

Almost surely, 282914137 is an apocalyptic number.

It is an amenable number.

82914137 is a deficient number, since it is larger than the sum of its proper divisors (1).

82914137 is an equidigital number, since it uses as much as digits as its factorization.

82914137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 12096, while the sum is 35.

The square root of 82914137 is about 9105.7200154628. The cubic root of 82914137 is about 436.0565973858.

The spelling of 82914137 in words is "eighty-two million, nine hundred fourteen thousand, one hundred thirty-seven".