10206409 has 16 divisors (see below), whose sum is σ = 11321856. Its totient is φ = 9158400.

The previous prime is 10206407. The next prime is 10206451. The reversal of 10206409 is 90460201.

10206409 = T₂₆₀₇ + T₂₆₀₈ + T₂₆₀₉.

It is a cyclic number.

It is not a de Polignac number, because 10206409 - 2¹ = 10206407 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10206409.

It is not an unprimeable number, because it can be changed into a prime (10206407) 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, 56299 + ... + 56479.

It is an arithmetic number, because the mean of its divisors is an integer number (707616).

Almost surely, 2^10206409 is an apocalyptic number.

10206409 is the 2609-th centered triangular number.

It is an amenable number.

10206409 is a deficient number, since it is larger than the sum of its proper divisors (1115447).

10206409 is a wasteful number, since it uses less digits than its factorization.

10206409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336.

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 10206409 is about 3194.7470948418. The cubic root of 10206409 is about 216.9157012920.

The spelling of 10206409 in words is "ten million, two hundred six thousand, four hundred nine".