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36107969 is a prime number
BaseRepresentation
bin1000100110111…
…1011011000001
32111221110211012
42021233123001
533220423334
63325530305
7615625022
oct211573301
974843735
1036107969
11194224a7
1210113995
137633181
144b1cc49
1532839ce
hex226f6c1

36107969 has 2 divisors, whose sum is σ = 36107970. Its totient is φ = 36107968.

The previous prime is 36107957. The next prime is 36107971. The reversal of 36107969 is 96970163.

It is a happy number.

36107969 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20584369 + 15523600 = 4537^2 + 3940^2 .

It is an emirp because it is prime and its reverse (96970163) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-36107969 is a prime.

It is a super-2 number, since 2×361079692 = 2607570850609922, which contains 22 as substring.

Together with 36107971, 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 (36127969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18053984 + 18053985.

It is an arithmetic number, because the mean of its divisors is an integer number (18053985).

Almost surely, 236107969 is an apocalyptic number.

It is an amenable number.

36107969 is a deficient number, since it is larger than the sum of its proper divisors (1).

36107969 is an equidigital number, since it uses as much as digits as its factorization.

36107969 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 61236, while the sum is 41.

The square root of 36107969 is about 6008.9906806385. The cubic root of 36107969 is about 330.5224933824.

The spelling of 36107969 in words is "thirty-six million, one hundred seven thousand, nine hundred sixty-nine".