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67046401 is a prime number
BaseRepresentation
bin1111111111000…
…0110000000001
311200011022101001
43333300300001
5114130441101
610353012001
71442612362
oct377606001
9150138331
1067046401
1134933a54
121a554001
1310b76336
148c93b69
155d45901
hex3ff0c01

67046401 has 2 divisors, whose sum is σ = 67046402. Its totient is φ = 67046400.

The previous prime is 67046387. The next prime is 67046407. The reversal of 67046401 is 10464076.

67046401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41280625 + 25765776 = 6425^2 + 5076^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-67046401 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 67046401.

It is not a weakly prime, because it can be changed into another prime (67046407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33523200 + 33523201.

It is an arithmetic number, because the mean of its divisors is an integer number (33523201).

Almost surely, 267046401 is an apocalyptic number.

It is an amenable number.

67046401 is a deficient number, since it is larger than the sum of its proper divisors (1).

67046401 is an equidigital number, since it uses as much as digits as its factorization.

67046401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 67046401 is about 8188.1866734949. The cubic root of 67046401 is about 406.2485495491.

It can be divided in two parts, 6 and 7046401, that added together give a palindrome (7046407).

The spelling of 67046401 in words is "sixty-seven million, forty-six thousand, four hundred one".