Search a number
-
+
65814401 is a prime number
BaseRepresentation
bin1111101100001…
…1111110000001
311120211201101102
43323003332001
5113322030101
610310344145
71426261502
oct373037601
9146751342
1065814401
1134172374
121a05b055
1310834643
148a52ba9
155ba086b
hex3ec3f81

65814401 has 2 divisors, whose sum is σ = 65814402. Its totient is φ = 65814400.

The previous prime is 65814377. The next prime is 65814409. The reversal of 65814401 is 10441856.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62031376 + 3783025 = 7876^2 + 1945^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-65814401 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (65814409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32907200 + 32907201.

It is an arithmetic number, because the mean of its divisors is an integer number (32907201).

Almost surely, 265814401 is an apocalyptic number.

It is an amenable number.

65814401 is a deficient number, since it is larger than the sum of its proper divisors (1).

65814401 is an equidigital number, since it uses as much as digits as its factorization.

65814401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 65814401 is about 8112.6075339560. The cubic root of 65814401 is about 403.7448332337.

The spelling of 65814401 in words is "sixty-five million, eight hundred fourteen thousand, four hundred one".