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67058401 is a prime number
BaseRepresentation
bin1111111111001…
…1101011100001
311200011220211111
43333303223201
5114131332101
610353143321
71442662354
oct377635341
9150156744
1067058401
1134941a73
121a55ab41
1310b7b937
148c9829b
155d49251
hex3ff3ae1

67058401 has 2 divisors, whose sum is σ = 67058402. Its totient is φ = 67058400.

The previous prime is 67058399. The next prime is 67058417. The reversal of 67058401 is 10485076.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58064400 + 8994001 = 7620^2 + 2999^2 .

It is a cyclic number.

It is not a de Polignac number, because 67058401 - 21 = 67058399 is a prime.

Together with 67058399, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (67056401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33529200 + 33529201.

It is an arithmetic number, because the mean of its divisors is an integer number (33529201).

Almost surely, 267058401 is an apocalyptic number.

It is an amenable number.

67058401 is a deficient number, since it is larger than the sum of its proper divisors (1).

67058401 is an equidigital number, since it uses as much as digits as its factorization.

67058401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 67058401 is about 8188.9194036820. The cubic root of 67058401 is about 406.2727849627.

The spelling of 67058401 in words is "sixty-seven million, fifty-eight thousand, four hundred one".