10006477 has 4 divisors (see below), whose sum is σ = 10776220. Its totient is φ = 9236736.

The previous prime is 10006463. The next prime is 10006481. The reversal of 10006477 is 77460001.

10006477 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 4384836 + 5621641 = 2094^2 + 2371^2 .

It is a cyclic number.

It is not a de Polignac number, because 10006477 - 2⁷ = 10006349 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006417) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 384852 + ... + 384877.

It is an arithmetic number, because the mean of its divisors is an integer number (2694055).

Almost surely, 2^10006477 is an apocalyptic number.

It is an amenable number.

10006477 is a deficient number, since it is larger than the sum of its proper divisors (769743).

10006477 is an equidigital number, since it uses as much as digits as its factorization.

10006477 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769742.

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 10006477 is about 3163.3015980143. The cubic root of 10006477 is about 215.4899732093.

Adding to 10006477 its reverse (77460001), we get a palindrome (87466478).

The spelling of 10006477 in words is "ten million, six thousand, four hundred seventy-seven".