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12457157 is a prime number
BaseRepresentation
bin101111100001…
…010011000101
3212102220000012
4233201103011
511142112112
61123000005
7210612146
oct57412305
925386005
1012457157
117039279
124209005
1327720cb
141923acd
151161022
hexbe14c5

12457157 has 2 divisors, whose sum is σ = 12457158. Its totient is φ = 12457156.

The previous prime is 12457127. The next prime is 12457171. The reversal of 12457157 is 75175421.

12457157 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11826721 + 630436 = 3439^2 + 794^2 .

It is an emirp because it is prime and its reverse (75175421) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12457157 - 218 = 12195013 is a prime.

It is a super-3 number, since 3×124571573 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12457127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6228578 + 6228579.

It is an arithmetic number, because the mean of its divisors is an integer number (6228579).

Almost surely, 212457157 is an apocalyptic number.

It is an amenable number.

12457157 is a deficient number, since it is larger than the sum of its proper divisors (1).

12457157 is an equidigital number, since it uses as much as digits as its factorization.

12457157 is an evil number, because the sum of its binary digits is even.

The product of its digits is 9800, while the sum is 32.

The square root of 12457157 is about 3529.4697902093. The cubic root of 12457157 is about 231.8139920578.

The spelling of 12457157 in words is "twelve million, four hundred fifty-seven thousand, one hundred fifty-seven".