821034 has 12 divisors (see below), whose sum is σ = 1778946. Its totient is φ = 273672.

The previous prime is 821027. The next prime is 821039. The reversal of 821034 is 430128.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 815409 + 5625 = 903^2 + 75^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 45613 = 821034 / (8 + 2 + 1 + 0 + 3 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 820998 and 821016.

It is not an unprimeable number, because it can be changed into a prime (821039) by changing a digit.

821034 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22789 + ... + 22824.

2⁸²¹⁰³⁴ is an apocalyptic number.

821034 is an abundant number, since it is smaller than the sum of its proper divisors (957912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

821034 is a wasteful number, since it uses less digits than its factorization.

821034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45621 (or 45618 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 821034 is about 906.1092649344. The cubic root of 821034 is about 93.6383417321.

The spelling of 821034 in words is "eight hundred twenty-one thousand, thirty-four".