820675 has 12 divisors (see below), whose sum is σ = 1078056. Its totient is φ = 617600.

The previous prime is 820657. The next prime is 820679. The reversal of 820675 is 576028.

It is not a de Polignac number, because 820675 - 2⁵ = 820643 is a prime.

It is a Duffinian number.

820675 is a lucky number.

It is a nialpdrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (820679) 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, 541 + ... + 1390.

It is an arithmetic number, because the mean of its divisors is an integer number (89838).

2⁸²⁰⁶⁷⁵ is an apocalyptic number.

820675 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

820675 is a deficient number, since it is larger than the sum of its proper divisors (257381).

820675 is a wasteful number, since it uses less digits than its factorization.

820675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 820675 is about 905.9111435455. The cubic root of 820675 is about 93.6246918445.

It can be divided in two parts, 8206 and 75, that added together give a square (8281 = 91²).

The spelling of 820675 in words is "eight hundred twenty thousand, six hundred seventy-five".