821376 has 96 divisors (see below), whose sum is σ = 2545920. Its totient is φ = 253440.

The previous prime is 821333. The next prime is 821377. The reversal of 821376 is 673128.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (821377) by changing a digit.

821376 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26481 + ... + 26511.

It is an arithmetic number, because the mean of its divisors is an integer number (26520).

2⁸²¹³⁷⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 821376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272960).

821376 is an abundant number, since it is smaller than the sum of its proper divisors (1724544).

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

821376 is a wasteful number, since it uses less digits than its factorization.

821376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 59 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 821376 is about 906.2979642480. The cubic root of 821376 is about 93.6513415459.

The spelling of 821376 in words is "eight hundred twenty-one thousand, three hundred seventy-six".