Search a number
-
+
12962137 is a prime number
BaseRepresentation
bin110001011100…
…100101011001
3220101112201011
4301130211121
511304242022
61141453521
7215114326
oct61344531
926345634
1012962137
117353711
1244112a1
1328bac06
141a15b4d
151210977
hexc5c959

12962137 has 2 divisors, whose sum is σ = 12962138. Its totient is φ = 12962136.

The previous prime is 12962119. The next prime is 12962197. The reversal of 12962137 is 73126921.

12962137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8386816 + 4575321 = 2896^2 + 2139^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12962137 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 12962099 and 12962108.

It is not a weakly prime, because it can be changed into another prime (12962197) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6481068 + 6481069.

It is an arithmetic number, because the mean of its divisors is an integer number (6481069).

Almost surely, 212962137 is an apocalyptic number.

It is an amenable number.

12962137 is a deficient number, since it is larger than the sum of its proper divisors (1).

12962137 is an equidigital number, since it uses as much as digits as its factorization.

12962137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4536, while the sum is 31.

The square root of 12962137 is about 3600.2967933214. The cubic root of 12962137 is about 234.9049683657.

The spelling of 12962137 in words is "twelve million, nine hundred sixty-two thousand, one hundred thirty-seven".