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67136761 is a prime number
BaseRepresentation
bin1000000000001…
…10110011111001
311200022220022201
410000012303321
5114141334021
610354550201
71443436666
oct400066371
9150286281
1067136761
113499592a
121a598361
1310ba84c3
148cb8a6d
155d62591
hex4006cf9

67136761 has 2 divisors, whose sum is σ = 67136762. Its totient is φ = 67136760.

The previous prime is 67136753. The next prime is 67136777. The reversal of 67136761 is 16763176.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 40717161 + 26419600 = 6381^2 + 5140^2 .

It is a cyclic number.

It is not a de Polignac number, because 67136761 - 23 = 67136753 is a prime.

It is a super-2 number, since 2×671367612 = 9014689355142242, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 67136761.

It is not a weakly prime, because it can be changed into another prime (67136561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33568380 + 33568381.

It is an arithmetic number, because the mean of its divisors is an integer number (33568381).

Almost surely, 267136761 is an apocalyptic number.

It is an amenable number.

67136761 is a deficient number, since it is larger than the sum of its proper divisors (1).

67136761 is an equidigital number, since it uses as much as digits as its factorization.

67136761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 31752, while the sum is 37.

The square root of 67136761 is about 8193.7025208388. The cubic root of 67136761 is about 406.4309711740.

The spelling of 67136761 in words is "sixty-seven million, one hundred thirty-six thousand, seven hundred sixty-one".