Search a number
-
+
36002077 is a prime number
BaseRepresentation
bin1000100101010…
…1100100011101
32111202002120021
42021111210131
533204031302
63323352141
7615004216
oct211254435
974662507
1036002077
111935a991
1210082651
1375c6c07
144ad240d
153262437
hex225591d

36002077 has 2 divisors, whose sum is σ = 36002078. Its totient is φ = 36002076.

The previous prime is 36002063. The next prime is 36002081. The reversal of 36002077 is 77020063.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35868121 + 133956 = 5989^2 + 366^2 .

It is an emirp because it is prime and its reverse (77020063) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36002077 - 27 = 36001949 is a prime.

It is a super-2 number, since 2×360020772 = 2592299096627858, which contains 22 as substring.

It is equal to p2204368 and since 36002077 and 2204368 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36002177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18001038 + 18001039.

It is an arithmetic number, because the mean of its divisors is an integer number (18001039).

Almost surely, 236002077 is an apocalyptic number.

It is an amenable number.

36002077 is a deficient number, since it is larger than the sum of its proper divisors (1).

36002077 is an equidigital number, since it uses as much as digits as its factorization.

36002077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1764, while the sum is 25.

The square root of 36002077 is about 6000.1730808369. The cubic root of 36002077 is about 330.1990748626.

The spelling of 36002077 in words is "thirty-six million, two thousand, seventy-seven".