10657667 has 2 divisors, whose sum is σ = 10657668. Its totient is φ = 10657666.

The previous prime is 10657649. The next prime is 10657687. The reversal of 10657667 is 76675601.

10657667 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is an emirp because it is prime and its reverse (76675601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10657667 - 2¹⁰ = 10656643 is a prime.

It is a super-2 number, since 2×10657667² = 227171731765778, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10657667.

It is not a weakly prime, because it can be changed into another prime (10657607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5328833 + 5328834.

It is an arithmetic number, because the mean of its divisors is an integer number (5328834).

Almost surely, 2^10657667 is an apocalyptic number.

10657667 is a deficient number, since it is larger than the sum of its proper divisors (1).

10657667 is an equidigital number, since it uses as much as digits as its factorization.

10657667 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 52920, while the sum is 38.

The square root of 10657667 is about 3264.6082460228. The cubic root of 10657667 is about 220.0665569973.

The spelling of 10657667 in words is "ten million, six hundred fifty-seven thousand, six hundred sixty-seven".