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67115137 is a prime number
BaseRepresentation
bin1000000000000…
…01100010000001
311200021210122211
410000001202001
5114140141022
610354302121
71443316645
oct400014201
9150253584
1067115137
1134980661
121a587941
1310b9b6cb
148cb0c25
155d5ae77
hex4001881

67115137 has 2 divisors, whose sum is σ = 67115138. Its totient is φ = 67115136.

The previous prime is 67115123. The next prime is 67115149. The reversal of 67115137 is 73151176.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59043856 + 8071281 = 7684^2 + 2841^2 .

It is a cyclic number.

It is not a de Polignac number, because 67115137 - 211 = 67113089 is a prime.

It is a super-2 number, since 2×671151372 = 9008883229057538, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 67115099 and 67115108.

It is not a weakly prime, because it can be changed into another prime (67115117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33557568 + 33557569.

It is an arithmetic number, because the mean of its divisors is an integer number (33557569).

Almost surely, 267115137 is an apocalyptic number.

It is an amenable number.

67115137 is a deficient number, since it is larger than the sum of its proper divisors (1).

67115137 is an equidigital number, since it uses as much as digits as its factorization.

67115137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4410, while the sum is 31.

The square root of 67115137 is about 8192.3828645883. The cubic root of 67115137 is about 406.3873308646.

The spelling of 67115137 in words is "sixty-seven million, one hundred fifteen thousand, one hundred thirty-seven".