Search a number
-
+
36181037 is a prime number
BaseRepresentation
bin1000101000000…
…1010000101101
32112002012001102
42022001100231
533230243122
63331252445
7616351034
oct212012055
975065042
1036181037
1119472392
121014a125
13765a4c9
144b3b71b
15329a492
hex228142d

36181037 has 2 divisors, whose sum is σ = 36181038. Its totient is φ = 36181036.

The previous prime is 36181031. The next prime is 36181039. The reversal of 36181037 is 73018163.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29311396 + 6869641 = 5414^2 + 2621^2 .

It is a cyclic number.

It is not a de Polignac number, because 36181037 - 216 = 36115501 is a prime.

Together with 36181039, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36181031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18090518 + 18090519.

It is an arithmetic number, because the mean of its divisors is an integer number (18090519).

Almost surely, 236181037 is an apocalyptic number.

It is an amenable number.

36181037 is a deficient number, since it is larger than the sum of its proper divisors (1).

36181037 is an equidigital number, since it uses as much as digits as its factorization.

36181037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 36181037 is about 6015.0674975431. The cubic root of 36181037 is about 330.7452913420.

The spelling of 36181037 in words is "thirty-six million, one hundred eighty-one thousand, thirty-seven".