Search a number
-
+
3687267121 is a prime number
BaseRepresentation
bin1101101111000111…
…0011101100110001
3100111222020120120221
43123301303230301
530022420021441
61405514533041
7160242152626
oct33361635461
910458216527
103687267121
1116224033aa
1286aa37181
13469bb6185
1426d9c834d
15168a9d8d1
hexdbc73b31

3687267121 has 2 divisors, whose sum is σ = 3687267122. Its totient is φ = 3687267120.

The previous prime is 3687267083. The next prime is 3687267203. The reversal of 3687267121 is 1217627863.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2847716496 + 839550625 = 53364^2 + 28975^2 .

It is a cyclic number.

It is not a de Polignac number, because 3687267121 - 27 = 3687266993 is a prime.

It is not a weakly prime, because it can be changed into another prime (3687267421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1843633560 + 1843633561.

It is an arithmetic number, because the mean of its divisors is an integer number (1843633561).

Almost surely, 23687267121 is an apocalyptic number.

It is an amenable number.

3687267121 is a deficient number, since it is larger than the sum of its proper divisors (1).

3687267121 is an equidigital number, since it uses as much as digits as its factorization.

3687267121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 169344, while the sum is 43.

The square root of 3687267121 is about 60722.8714818395. The cubic root of 3687267121 is about 1544.9041279973.

The spelling of 3687267121 in words is "three billion, six hundred eighty-seven million, two hundred sixty-seven thousand, one hundred twenty-one".