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36385201 is a prime number
BaseRepresentation
bin1000101011001…
…1000110110001
32112110120010001
42022303012301
533303311301
63335510001
7621161206
oct212630661
975416101
1036385201
11195a1816
1210228301
1376cc408
144b91cad
1532dac01
hex22b31b1

36385201 has 2 divisors, whose sum is σ = 36385202. Its totient is φ = 36385200.

The previous prime is 36385183. The next prime is 36385213. The reversal of 36385201 is 10258363.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21762225 + 14622976 = 4665^2 + 3824^2 .

It is an emirp because it is prime and its reverse (10258363) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36385201 - 27 = 36385073 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 36385201.

It is not a weakly prime, because it can be changed into another prime (36385301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18192600 + 18192601.

It is an arithmetic number, because the mean of its divisors is an integer number (18192601).

Almost surely, 236385201 is an apocalyptic number.

It is an amenable number.

36385201 is a deficient number, since it is larger than the sum of its proper divisors (1).

36385201 is an equidigital number, since it uses as much as digits as its factorization.

36385201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 36385201 is about 6032.0146717328. The cubic root of 36385201 is about 331.3662396847.

The spelling of 36385201 in words is "thirty-six million, three hundred eighty-five thousand, two hundred one".