10801627 has 2 divisors, whose sum is σ = 10801628. Its totient is φ = 10801626.

The previous prime is 10801621. The next prime is 10801639. The reversal of 10801627 is 72610801.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10801627 - 2⁷ = 10801499 is a prime.

It is equal to p₇₁₄₂₅₆ and since 10801627 and 714256 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (10801621) 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, 5400813 + 5400814.

It is an arithmetic number, because the mean of its divisors is an integer number (5400814).

Almost surely, 2^10801627 is an apocalyptic number.

10801627 is a deficient number, since it is larger than the sum of its proper divisors (1).

10801627 is an equidigital number, since it uses as much as digits as its factorization.

10801627 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 10801627 is about 3286.5828758758. The cubic root of 10801627 is about 221.0529892115.

The spelling of 10801627 in words is "ten million, eight hundred one thousand, six hundred twenty-seven".