820417 has 8 divisors (see below), whose sum is σ = 890624. Its totient is φ = 751248.

The previous prime is 820411. The next prime is 820427. The reversal of 820417 is 714028.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 820417 - 2³ = 820409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (820411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2758 + ... + 3040.

It is an arithmetic number, because the mean of its divisors is an integer number (111328).

2⁸²⁰⁴¹⁷ is an apocalyptic number.

It is an amenable number.

820417 is a deficient number, since it is larger than the sum of its proper divisors (70207).

820417 is a wasteful number, since it uses less digits than its factorization.

820417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519.

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 820417 is about 905.7687342804. The cubic root of 820417 is about 93.6148797174.

The spelling of 820417 in words is "eight hundred twenty thousand, four hundred seventeen".