10285407 has 16 divisors (see below), whose sum is σ = 16623360. Its totient is φ = 6233400.

The previous prime is 10285351. The next prime is 10285409. The reversal of 10285407 is 70458201.

It is not a de Polignac number, because 10285407 - 2¹⁰ = 10284383 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10285409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17019 + ... + 17612.

It is an arithmetic number, because the mean of its divisors is an integer number (1038960).

Almost surely, 2^10285407 is an apocalyptic number.

10285407 is a deficient number, since it is larger than the sum of its proper divisors (6337953).

10285407 is a wasteful number, since it uses less digits than its factorization.

10285407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34651 (or 34645 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 10285407 is about 3207.0869960137. The cubic root of 10285407 is about 217.4739088798.

Subtracting from 10285407 its sum of digits (27), we obtain a triangular number (10285380 = T₄₅₃₅).

The spelling of 10285407 in words is "ten million, two hundred eighty-five thousand, four hundred seven".