10820909 has 12 divisors (see below), whose sum is σ = 12220572. Its totient is φ = 9567360.

The previous prime is 10820903. The next prime is 10820917. The reversal of 10820909 is 90902801.

10820909 = 237² + 238² + ... + 357².

10820909 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 can be written as a sum of positive squares in 2 ways, for example, as 10176100 + 644809 = 3190^2 + 803^2 .

It is not a de Polignac number, because 10820909 - 2⁴ = 10820893 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10820903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3269 + ... + 5685.

It is an arithmetic number, because the mean of its divisors is an integer number (1018381).

Almost surely, 2^10820909 is an apocalyptic number.

It is an amenable number.

10820909 is a deficient number, since it is larger than the sum of its proper divisors (1399663).

10820909 is a wasteful number, since it uses less digits than its factorization.

10820909 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2476 (or 2465 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The square root of 10820909 is about 3289.5150098457. The cubic root of 10820909 is about 221.1844450256.

The spelling of 10820909 in words is "ten million, eight hundred twenty thousand, nine hundred nine".