Search a number
-
+
36406801 is a prime number
BaseRepresentation
bin1000101011100…
…0011000010001
32112111122202001
42022320120101
533310004201
63340154001
7621311164
oct212703021
975448661
1036406801
1119606a72
1210238901
1377091b2
144b99adb
1532e2301
hex22b8611

36406801 has 2 divisors, whose sum is σ = 36406802. Its totient is φ = 36406800.

The previous prime is 36406787. The next prime is 36406829. The reversal of 36406801 is 10860463.

It is an a-pointer prime, because the next prime (36406829) can be obtained adding 36406801 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36180225 + 226576 = 6015^2 + 476^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-36406801 is a prime.

It is equal to p2227663 and since 36406801 and 2227663 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 36406801.

It is not a weakly prime, because it can be changed into another prime (36406841) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18203400 + 18203401.

It is an arithmetic number, because the mean of its divisors is an integer number (18203401).

Almost surely, 236406801 is an apocalyptic number.

It is an amenable number.

36406801 is a deficient number, since it is larger than the sum of its proper divisors (1).

36406801 is an equidigital number, since it uses as much as digits as its factorization.

36406801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 36406801 is about 6033.8048526614. The cubic root of 36406801 is about 331.4317983432.

The spelling of 36406801 in words is "thirty-six million, four hundred six thousand, eight hundred one".