820477 has 16 divisors (see below), whose sum is σ = 1024000. Its totient is φ = 641520.

The previous prime is 820459. The next prime is 820481. The reversal of 820477 is 774028.

It is a cyclic number.

It is not a de Polignac number, because 820477 - 2⁷ = 820349 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 (820427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4024 + ... + 4222.

It is an arithmetic number, because the mean of its divisors is an integer number (64000).

2⁸²⁰⁴⁷⁷ is an apocalyptic number.

It is an amenable number.

820477 is a deficient number, since it is larger than the sum of its proper divisors (203523).

820477 is a wasteful number, since it uses less digits than its factorization.

820477 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256.

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 820477 is about 905.8018547122. The cubic root of 820477 is about 93.6171617909.

It can be divided in two parts, 8204 and 77, that added together give a square (8281 = 91²).

The spelling of 820477 in words is "eight hundred twenty thousand, four hundred seventy-seven".