Search a number
-
+
36975073 is a prime number
BaseRepresentation
bin1000110100001…
…1000111100001
32120120112021011
42031003013201
533431200243
63400300521
7626166022
oct215030741
976515234
1036975073
1119964a13
1210471741
137877a55
144ca6c49
1533a589d
hex23431e1

36975073 has 2 divisors, whose sum is σ = 36975074. Its totient is φ = 36975072.

The previous prime is 36975049. The next prime is 36975077. The reversal of 36975073 is 37057963.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36820624 + 154449 = 6068^2 + 393^2 .

It is an emirp because it is prime and its reverse (37057963) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-36975073 is a prime.

It is not a weakly prime, because it can be changed into another prime (36975077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18487536 + 18487537.

It is an arithmetic number, because the mean of its divisors is an integer number (18487537).

Almost surely, 236975073 is an apocalyptic number.

It is an amenable number.

36975073 is a deficient number, since it is larger than the sum of its proper divisors (1).

36975073 is an equidigital number, since it uses as much as digits as its factorization.

36975073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 119070, while the sum is 40.

The square root of 36975073 is about 6080.7131983017. The cubic root of 36975073 is about 333.1473374581.

The spelling of 36975073 in words is "thirty-six million, nine hundred seventy-five thousand, seventy-three".