10084635 has 32 divisors (see below), whose sum is σ = 19560960. Its totient is φ = 4888800.

The previous prime is 10084631. The next prime is 10084637. The reversal of 10084635 is 53648001.

10084635 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10084635 - 2² = 10084631 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10084599 and 10084608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10084631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1911 + ... + 4880.

It is an arithmetic number, because the mean of its divisors is an integer number (611280).

Almost surely, 2^10084635 is an apocalyptic number.

10084635 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10084635 is a deficient number, since it is larger than the sum of its proper divisors (9476325).

10084635 is a wasteful number, since it uses less digits than its factorization.

10084635 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6816 (or 6810 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 10084635 is about 3175.6314332743. The cubic root of 10084635 is about 216.0495642432.

The spelling of 10084635 in words is "ten million, eighty-four thousand, six hundred thirty-five".