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66838901 is a prime number
BaseRepresentation
bin1111111011111…
…0000101110101
311122202202201212
43332332011311
5114102321101
610344331205
71441056413
oct376760565
9148682655
1066838901
1134802068
121a473b05
1310b02a5c
148c3c2b3
155d041bb
hex3fbe175

66838901 has 2 divisors, whose sum is σ = 66838902. Its totient is φ = 66838900.

The previous prime is 66838879. The next prime is 66838913. The reversal of 66838901 is 10983866.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52200625 + 14638276 = 7225^2 + 3826^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-66838901 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (66838921) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33419450 + 33419451.

It is an arithmetic number, because the mean of its divisors is an integer number (33419451).

Almost surely, 266838901 is an apocalyptic number.

It is an amenable number.

66838901 is a deficient number, since it is larger than the sum of its proper divisors (1).

66838901 is an equidigital number, since it uses as much as digits as its factorization.

66838901 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 62208, while the sum is 41.

The square root of 66838901 is about 8175.5061617003. The cubic root of 66838901 is about 405.8290207602.

The spelling of 66838901 in words is "sixty-six million, eight hundred thirty-eight thousand, nine hundred one".