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10046633 is a prime number
BaseRepresentation
bin100110010100…
…110010101001
3200220102101112
4212110302221
510032443013
6555200105
7151252322
oct46246251
920812345
1010046633
115742203
123446035
132109b6c
141497449
15d36ba8
hex994ca9

10046633 has 2 divisors, whose sum is σ = 10046634. Its totient is φ = 10046632.

The previous prime is 10046591. The next prime is 10046657. The reversal of 10046633 is 33664001.

10046633 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6310144 + 3736489 = 2512^2 + 1933^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10046633 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10046599 and 10046608.

It is not a weakly prime, because it can be changed into another prime (10046683) 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, 5023316 + 5023317.

It is an arithmetic number, because the mean of its divisors is an integer number (5023317).

Almost surely, 210046633 is an apocalyptic number.

It is an amenable number.

10046633 is a deficient number, since it is larger than the sum of its proper divisors (1).

10046633 is an equidigital number, since it uses as much as digits as its factorization.

10046633 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 10046633 is about 3169.6424088531. The cubic root of 10046633 is about 215.7778422892. Note that the first 3 decimals are identical.

The spelling of 10046633 in words is "ten million, forty-six thousand, six hundred thirty-three".