Search a number
-
+
36801337 is a prime number
BaseRepresentation
bin1000110001100…
…0101100111001
32120020200221111
42030120230321
533410120322
63352440321
7624543346
oct214305471
976220844
1036801337
1119856431
12103a90a1
137816951
144c5d7cd
15336e177
hex2318b39

36801337 has 2 divisors, whose sum is σ = 36801338. Its totient is φ = 36801336.

The previous prime is 36801283. The next prime is 36801341. The reversal of 36801337 is 73310863.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36772096 + 29241 = 6064^2 + 171^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-36801337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36801299 and 36801308.

It is not a weakly prime, because it can be changed into another prime (36831337) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18400668 + 18400669.

It is an arithmetic number, because the mean of its divisors is an integer number (18400669).

Almost surely, 236801337 is an apocalyptic number.

It is an amenable number.

36801337 is a deficient number, since it is larger than the sum of its proper divisors (1).

36801337 is an equidigital number, since it uses as much as digits as its factorization.

36801337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 36801337 is about 6066.4105532020. The cubic root of 36801337 is about 332.6247279248.

The spelling of 36801337 in words is "thirty-six million, eight hundred one thousand, three hundred thirty-seven".