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36968941 is a prime number
BaseRepresentation
bin1000110100000…
…1100111101101
32120120012212001
42031001213231
533431001231
63400212301
7626142112
oct215014755
976505761
1036968941
1119960349
121046a091
137875019
144ca4909
1533a3b61
hex23419ed

36968941 has 2 divisors, whose sum is σ = 36968942. Its totient is φ = 36968940.

The previous prime is 36968923. The next prime is 36968951. The reversal of 36968941 is 14986963.

36968941 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., 33396841 + 3572100 = 5779^2 + 1890^2 .

It is an emirp because it is prime and its reverse (14986963) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36968941 - 211 = 36966893 is a prime.

It is a super-2 number, since 2×369689412 = 2733405197322962, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 36968891 and 36968900.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36968951) 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, 18484470 + 18484471.

It is an arithmetic number, because the mean of its divisors is an integer number (18484471).

Almost surely, 236968941 is an apocalyptic number.

It is an amenable number.

36968941 is a deficient number, since it is larger than the sum of its proper divisors (1).

36968941 is an equidigital number, since it uses as much as digits as its factorization.

36968941 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 279936, while the sum is 46.

The square root of 36968941 is about 6080.2089602250. The cubic root of 36968941 is about 333.1289198933.

The spelling of 36968941 in words is "thirty-six million, nine hundred sixty-eight thousand, nine hundred forty-one".