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10084357 is a prime number
BaseRepresentation
bin100110011110…
…000000000101
3200222100010201
4212132000011
510040144412
61000050501
7151500313
oct46360005
920870121
1010084357
115768588
123463a31
13212109a
1414a70b3
15d42e57
hex99e005

10084357 has 2 divisors, whose sum is σ = 10084358. Its totient is φ = 10084356.

The previous prime is 10084351. The next prime is 10084369. The reversal of 10084357 is 75348001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9771876 + 312481 = 3126^2 + 559^2 .

It is an emirp because it is prime and its reverse (75348001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10084357 is a prime.

It is a super-2 number, since 2×100843572 = 203388512206898, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10084351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5042178 + 5042179.

It is an arithmetic number, because the mean of its divisors is an integer number (5042179).

Almost surely, 210084357 is an apocalyptic number.

It is an amenable number.

10084357 is a deficient number, since it is larger than the sum of its proper divisors (1).

10084357 is an equidigital number, since it uses as much as digits as its factorization.

10084357 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 10084357 is about 3175.5876621501. The cubic root of 10084357 is about 216.0475789679.

The spelling of 10084357 in words is "ten million, eighty-four thousand, three hundred fifty-seven".