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10605037 is a prime number
BaseRepresentation
bin101000011101…
…000111101101
3201221210101011
4220131013231
510203330122
61015145221
7156066322
oct50350755
921853334
1010605037
115a937a3
123675211
132274091
1415a0b49
15de7377
hexa1d1ed

10605037 has 2 divisors, whose sum is σ = 10605038. Its totient is φ = 10605036.

The previous prime is 10605031. The next prime is 10605079. The reversal of 10605037 is 73050601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7241481 + 3363556 = 2691^2 + 1834^2 .

It is a cyclic number.

It is not a de Polignac number, because 10605037 - 23 = 10605029 is a prime.

It is a super-2 number, since 2×106050372 = 224933619542738, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10604999 and 10605017.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10605031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5302518 + 5302519.

It is an arithmetic number, because the mean of its divisors is an integer number (5302519).

Almost surely, 210605037 is an apocalyptic number.

It is an amenable number.

10605037 is a deficient number, since it is larger than the sum of its proper divisors (1).

10605037 is an equidigital number, since it uses as much as digits as its factorization.

10605037 is an odious number, because the sum of its binary digits is odd.

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

The square root of 10605037 is about 3256.5375784720. The cubic root of 10605037 is about 219.7037127214.

Adding to 10605037 its reverse (73050601), we get a palindrome (83655638).

The spelling of 10605037 in words is "ten million, six hundred five thousand, thirty-seven".