Search a number
-
+
867401137 is a prime number
BaseRepresentation
bin110011101100110…
…111110110110001
32020110011112200001
4303230313312301
53234023314022
6222023230001
730331534201
oct6354676661
92213145601
10867401137
11405697349
122025a8301
1310a921815
14832b2401
155123cb27
hex33b37db1

867401137 has 2 divisors, whose sum is σ = 867401138. Its totient is φ = 867401136.

The previous prime is 867401123. The next prime is 867401141. The reversal of 867401137 is 731104768.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 583512336 + 283888801 = 24156^2 + 16849^2 .

It is a cyclic number.

It is not a de Polignac number, because 867401137 - 223 = 859012529 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 867401096 and 867401105.

It is not a weakly prime, because it can be changed into another prime (867401537) 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, 433700568 + 433700569.

It is an arithmetic number, because the mean of its divisors is an integer number (433700569).

Almost surely, 2867401137 is an apocalyptic number.

It is an amenable number.

867401137 is a deficient number, since it is larger than the sum of its proper divisors (1).

867401137 is an equidigital number, since it uses as much as digits as its factorization.

867401137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 867401137 is about 29451.6746043413. The cubic root of 867401137 is about 953.6887560781.

The spelling of 867401137 in words is "eight hundred sixty-seven million, four hundred one thousand, one hundred thirty-seven".