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12337057 is a prime number
BaseRepresentation
bin101111000011…
…111110100001
3212012210021001
4233003332201
511124241212
61120232001
7206602045
oct57037641
925183231
1012337057
116a67017
12416b601
13272c545
1418d2025
15113a657
hexbc3fa1

12337057 has 2 divisors, whose sum is σ = 12337058. Its totient is φ = 12337056.

The previous prime is 12337027. The next prime is 12337079. The reversal of 12337057 is 75073321.

12337057 is digitally balanced in base 3, 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., 6305121 + 6031936 = 2511^2 + 2456^2 .

It is a cyclic number.

It is not a de Polignac number, because 12337057 - 215 = 12304289 is a prime.

It is not a weakly prime, because it can be changed into another prime (12337007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6168528 + 6168529.

It is an arithmetic number, because the mean of its divisors is an integer number (6168529).

Almost surely, 212337057 is an apocalyptic number.

It is an amenable number.

12337057 is a deficient number, since it is larger than the sum of its proper divisors (1).

12337057 is an equidigital number, since it uses as much as digits as its factorization.

12337057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4410, while the sum is 28.

The square root of 12337057 is about 3512.4146964731. The cubic root of 12337057 is about 231.0666087283.

The spelling of 12337057 in words is "twelve million, three hundred thirty-seven thousand, fifty-seven".