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165037 is a prime number
BaseRepresentation
bin101000010010101101
322101101111
4220102231
520240122
63312021
71255105
oct502255
9271344
10165037
11102aa4
127b611
135a172
1444205
1533d77

165037 has 2 divisors, whose sum is σ = 165038. Its totient is φ = 165036.

The previous prime is 165001. The next prime is 165041. The reversal of 165037 is 730561.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 155236 + 9801 = 394^2 + 99^2 .

It is a cyclic number.

It is not a de Polignac number, because 165037 - 211 = 162989 is a prime.

It is a super-2 number, since 2×1650372 = 54474422738, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164999 and 165017.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 165037.

It is not a weakly prime, because it can be changed into another prime (165047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82518 + 82519.

It is an arithmetic number, because the mean of its divisors is an integer number (82519).

2165037 is an apocalyptic number.

It is an amenable number.

165037 is a deficient number, since it is larger than the sum of its proper divisors (1).

165037 is an equidigital number, since it uses as much as digits as its factorization.

165037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 165037 is about 406.2474615305. The cubic root of 165037 is about 54.8521649723.

Adding to 165037 its reverse (730561), we get a palindrome (895598).

The spelling of 165037 in words is "one hundred sixty-five thousand, thirty-seven".