821934 has 32 divisors (see below), whose sum is σ = 1889280. Its totient is φ = 264600.

The previous prime is 821911. The next prime is 821939. The reversal of 821934 is 439128.

821934 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 821898 and 821907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821939) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1429 + ... + 1919.

It is an arithmetic number, because the mean of its divisors is an integer number (59040).

2⁸²¹⁹³⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 821934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944640).

821934 is an abundant number, since it is smaller than the sum of its proper divisors (1067346).

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

821934 is a wasteful number, since it uses less digits than its factorization.

821934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 527 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 821934 is about 906.6057577580. The cubic root of 821934 is about 93.6725440237.

It can be divided in two parts, 82 and 1934, that added together give a triangular number (2016 = T₆₃).

The spelling of 821934 in words is "eight hundred twenty-one thousand, nine hundred thirty-four".