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13537697 is a prime number
BaseRepresentation
bin110011101001…
…000110100001
3221110210020012
4303221012201
511431201242
61202054305
7223032335
oct63510641
927423205
1013537697
117707088
12464a395
132a5cb94
141b257c5
1512c6282
hexce91a1

13537697 has 2 divisors, whose sum is σ = 13537698. Its totient is φ = 13537696.

The previous prime is 13537687. The next prime is 13537717. The reversal of 13537697 is 79673531.

13537697 is digitally balanced in base 3, 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., 10471696 + 3066001 = 3236^2 + 1751^2 .

It is a cyclic number.

It is not a de Polignac number, because 13537697 - 28 = 13537441 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13537687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6768848 + 6768849.

It is an arithmetic number, because the mean of its divisors is an integer number (6768849).

Almost surely, 213537697 is an apocalyptic number.

It is an amenable number.

13537697 is a deficient number, since it is larger than the sum of its proper divisors (1).

13537697 is an equidigital number, since it uses as much as digits as its factorization.

13537697 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 119070, while the sum is 41.

The square root of 13537697 is about 3679.3609499477. The cubic root of 13537697 is about 238.3315824063.

The spelling of 13537697 in words is "thirteen million, five hundred thirty-seven thousand, six hundred ninety-seven".