Search a number
-
+
67364641 is a prime number
BaseRepresentation
bin1000000001111…
…10011100100001
311200202110220201
410000332130201
5114221132031
610403505201
71445406241
oct400763441
9150673821
1067364641
1135031063
121a688201
1310c58146
148d37b21
155da9d61
hex403e721

67364641 has 2 divisors, whose sum is σ = 67364642. Its totient is φ = 67364640.

The previous prime is 67364629. The next prime is 67364653. The reversal of 67364641 is 14646376.

It is a balanced prime because it is at equal distance from previous prime (67364629) and next prime (67364653).

It can be written as a sum of positive squares in only one way, i.e., 43560000 + 23804641 = 6600^2 + 4879^2 .

It is a cyclic number.

It is not a de Polignac number, because 67364641 - 213 = 67356449 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 67364641.

It is not a weakly prime, because it can be changed into another prime (67364041) 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, 33682320 + 33682321.

It is an arithmetic number, because the mean of its divisors is an integer number (33682321).

Almost surely, 267364641 is an apocalyptic number.

It is an amenable number.

67364641 is a deficient number, since it is larger than the sum of its proper divisors (1).

67364641 is an equidigital number, since it uses as much as digits as its factorization.

67364641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72576, while the sum is 37.

The square root of 67364641 is about 8207.5965422284. The cubic root of 67364641 is about 406.8902967657.

The spelling of 67364641 in words is "sixty-seven million, three hundred sixty-four thousand, six hundred forty-one".