10667633 has 2 divisors, whose sum is σ = 10667634. Its totient is φ = 10667632.

The previous prime is 10667623. The next prime is 10667639. The reversal of 10667633 is 33676601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8456464 + 2211169 = 2908^2 + 1487^2 .

It is a cyclic number.

It is not a de Polignac number, because 10667633 - 2¹⁰ = 10666609 is a prime.

It is a super-2 number, since 2×10667633² = 227596787645378, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10667633.

It is not a weakly prime, because it can be changed into another prime (10667639) 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, 5333816 + 5333817.

It is an arithmetic number, because the mean of its divisors is an integer number (5333817).

Almost surely, 2^10667633 is an apocalyptic number.

It is an amenable number.

10667633 is a deficient number, since it is larger than the sum of its proper divisors (1).

10667633 is an equidigital number, since it uses as much as digits as its factorization.

10667633 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13608, while the sum is 32.

The square root of 10667633 is about 3266.1342593347. The cubic root of 10667633 is about 220.1351304805.

The spelling of 10667633 in words is "ten million, six hundred sixty-seven thousand, six hundred thirty-three".