10406165 has 32 divisors (see below), whose sum is σ = 15759360. Its totient is φ = 6408000.

The previous prime is 10406119. The next prime is 10406171. The reversal of 10406165 is 56160401.

10406165 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10406165 - 2¹⁴ = 10389781 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10406165.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58046 + ... + 58224.

It is an arithmetic number, because the mean of its divisors is an integer number (492480).

Almost surely, 2^10406165 is an apocalyptic number.

It is an amenable number.

10406165 is a deficient number, since it is larger than the sum of its proper divisors (5353195).

10406165 is a wasteful number, since it uses less digits than its factorization.

10406165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353.

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 10406165 is about 3225.8588003817. The cubic root of 10406165 is about 218.3216990997.

Adding to 10406165 its reverse (56160401), we get a palindrome (66566566).

The spelling of 10406165 in words is "ten million, four hundred six thousand, one hundred sixty-five".