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36645361 is a prime number
BaseRepresentation
bin1000101111001…
…0100111110001
32112221202222121
42023302213301
533340122421
63345234241
7623323534
oct213624761
975852877
1036645361
111975a225
1210332981
13779095c
144c1ca1b
15333cd41
hex22f29f1

36645361 has 2 divisors, whose sum is σ = 36645362. Its totient is φ = 36645360.

The previous prime is 36645359. The next prime is 36645377. The reversal of 36645361 is 16354663.

36645361 = 42802 + 42812.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18326961 + 18318400 = 4281^2 + 4280^2 .

It is a cyclic number.

It is not a de Polignac number, because 36645361 - 21 = 36645359 is a prime.

Together with 36645359, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (36645391) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18322680 + 18322681.

It is an arithmetic number, because the mean of its divisors is an integer number (18322681).

Almost surely, 236645361 is an apocalyptic number.

36645361 is the 4281-st centered square number.

It is an amenable number.

36645361 is a deficient number, since it is larger than the sum of its proper divisors (1).

36645361 is an equidigital number, since it uses as much as digits as its factorization.

36645361 is an evil number, because the sum of its binary digits is even.

The product of its digits is 38880, while the sum is 34.

The square root of 36645361 is about 6053.5411950362. The cubic root of 36645361 is about 332.1541386409.

It can be divided in two parts, 3664 and 5361, that added together give a square (9025 = 952).

The spelling of 36645361 in words is "thirty-six million, six hundred forty-five thousand, three hundred sixty-one".