10820417 has 4 divisors (see below), whose sum is σ = 10830036. Its totient is φ = 10810800.

The previous prime is 10820413. The next prime is 10820437. The reversal of 10820417 is 71402801.

10820417 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 71402801 = 311 ⋅229591.

It can be written as a sum of positive squares in 2 ways, for example, as 4910656 + 5909761 = 2216^2 + 2431^2 .

It is a cyclic number.

It is not a de Polignac number, because 10820417 - 2² = 10820413 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10820392 and 10820401.

It is not an unprimeable number, because it can be changed into a prime (10820413) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2858 + ... + 5459.

It is an arithmetic number, because the mean of its divisors is an integer number (2707509).

Almost surely, 2^10820417 is an apocalyptic number.

It is an amenable number.

10820417 is a deficient number, since it is larger than the sum of its proper divisors (9619).

10820417 is an equidigital number, since it uses as much as digits as its factorization.

10820417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9618.

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 10820417 is about 3289.4402259351. The cubic root of 10820417 is about 221.1810927380.

The spelling of 10820417 in words is "ten million, eight hundred twenty thousand, four hundred seventeen".