Search a number
-
+
36835741 is a prime number
BaseRepresentation
bin1000110010000…
…1000110011101
32120022110010201
42030201012131
533412220431
63353303501
7625045555
oct214410635
976273121
1036835741
111987a268
1210404b91
1378294c7
144c6c165
153379461
hex232119d

36835741 has 2 divisors, whose sum is σ = 36835742. Its totient is φ = 36835740.

The previous prime is 36835739. The next prime is 36835763. The reversal of 36835741 is 14753863.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26563716 + 10272025 = 5154^2 + 3205^2 .

It is an emirp because it is prime and its reverse (14753863) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36835741 - 21 = 36835739 is a prime.

It is a super-3 number, since 3×368357413 (a number of 24 digits) contains 333 as substring.

Together with 36835739, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 36835741.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36835241) 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, 18417870 + 18417871.

It is an arithmetic number, because the mean of its divisors is an integer number (18417871).

Almost surely, 236835741 is an apocalyptic number.

It is an amenable number.

36835741 is a deficient number, since it is larger than the sum of its proper divisors (1).

36835741 is an equidigital number, since it uses as much as digits as its factorization.

36835741 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 60480, while the sum is 37.

The square root of 36835741 is about 6069.2455050031. The cubic root of 36835741 is about 332.7283478643.

The spelling of 36835741 in words is "thirty-six million, eight hundred thirty-five thousand, seven hundred forty-one".