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4097137 = 11592107
BaseRepresentation
bin1111101000010001110001
321201011012211
433220101301
52022102022
6223452121
746553002
oct17502161
97634184
104097137
112349270
121457041
13b05b55
147891a9
1555de77
hex3e8471

4097137 has 12 divisors (see below), whose sum is σ = 4589136. Its totient is φ = 3627320.

The previous prime is 4097113. The next prime is 4097143. The reversal of 4097137 is 7317904.

4097137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-4097137 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4097099 and 4097108.

It is not an unprimeable number, because it can be changed into a prime (4097167) 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 in 11 ways as a sum of consecutive naturals, for example, 38238 + ... + 38344.

It is an arithmetic number, because the mean of its divisors is an integer number (382428).

Almost surely, 24097137 is an apocalyptic number.

It is an amenable number.

4097137 is a deficient number, since it is larger than the sum of its proper divisors (491999).

4097137 is a wasteful number, since it uses less digits than its factorization.

4097137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 31.

The square root of 4097137 is about 2024.1385822122. The cubic root of 4097137 is about 160.0148033178.

The spelling of 4097137 in words is "four million, ninety-seven thousand, one hundred thirty-seven".

Divisors: 1 11 59 107 649 1177 3481 6313 38291 69443 372467 4097137