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36007021 is a prime number
BaseRepresentation
bin1000100101011…
…0110001101101
32111202100100101
42021112301231
533204211041
63323431101
7615024511
oct211266155
974670311
1036007021
1119363676
1210085491
1375c923b
144ad4141
153263b31
hex2256c6d

36007021 has 2 divisors, whose sum is σ = 36007022. Its totient is φ = 36007020.

The previous prime is 36007001. The next prime is 36007043. The reversal of 36007021 is 12070063.

36007021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32046921 + 3960100 = 5661^2 + 1990^2 .

It is a cyclic number.

It is not a de Polignac number, because 36007021 - 213 = 35998829 is a prime.

It is a super-2 number, since 2×360070212 = 2593011122588882, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 36007021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36007001) 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, 18003510 + 18003511.

It is an arithmetic number, because the mean of its divisors is an integer number (18003511).

Almost surely, 236007021 is an apocalyptic number.

It is an amenable number.

36007021 is a deficient number, since it is larger than the sum of its proper divisors (1).

36007021 is an equidigital number, since it uses as much as digits as its factorization.

36007021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 36007021 is about 6000.5850548092. The cubic root of 36007021 is about 330.2141890786.

Adding to 36007021 its reverse (12070063), we get a palindrome (48077084).

The spelling of 36007021 in words is "thirty-six million, seven thousand, twenty-one".