820435 has 16 divisors (see below), whose sum is σ = 1228032. Its totient is φ = 511200.

The previous prime is 820429. The next prime is 820441. The reversal of 820435 is 534028.

It is an interprime number because it is at equal distance from previous prime (820429) and next prime (820441).

It is not a de Polignac number, because 820435 - 2³ = 820427 is a prime.

It is a super-2 number, since 2×820435² = 1346227178450, which contains 22 as substring.

It is a Duffinian number.

820435 is a lucky number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 681 + ... + 1450.

It is an arithmetic number, because the mean of its divisors is an integer number (76752).

2⁸²⁰⁴³⁵ is an apocalyptic number.

820435 is a deficient number, since it is larger than the sum of its proper divisors (407597).

820435 is a wasteful number, since it uses less digits than its factorization.

820435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154.

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 820435 is about 905.7786705371. The cubic root of 820435 is about 93.6155643511.

The spelling of 820435 in words is "eight hundred twenty thousand, four hundred thirty-five".