Search a number
-
+
12582077 is a prime number
BaseRepresentation
bin101111111111…
…110010111101
3212200020100212
4233333302331
511210111302
61125402205
7211642304
oct57776275
925606325
1012582077
117114112
124269365
1327b6c21
14195743b
151188052
hexbffcbd

12582077 has 2 divisors, whose sum is σ = 12582078. Its totient is φ = 12582076.

The previous prime is 12582071. The next prime is 12582079. The reversal of 12582077 is 77028521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11115556 + 1466521 = 3334^2 + 1211^2 .

It is a cyclic number.

It is not a de Polignac number, because 12582077 - 26 = 12582013 is a prime.

It is a super-6 number, since 6×125820776 (a number of 44 digits) contains 666666 as substring.

Together with 12582079, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12582071) 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, 6291038 + 6291039.

It is an arithmetic number, because the mean of its divisors is an integer number (6291039).

Almost surely, 212582077 is an apocalyptic number.

It is an amenable number.

12582077 is a deficient number, since it is larger than the sum of its proper divisors (1).

12582077 is an equidigital number, since it uses as much as digits as its factorization.

12582077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7840, while the sum is 32.

The square root of 12582077 is about 3547.1223548110. The cubic root of 12582077 is about 232.5862908587.

The spelling of 12582077 in words is "twelve million, five hundred eighty-two thousand, seventy-seven".