821367 has 16 divisors (see below), whose sum is σ = 1260000. Its totient is φ = 528192.

The previous prime is 821333. The next prime is 821377. The reversal of 821367 is 763128.

821367 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 821367 - 2¹⁰ = 820343 is a prime.

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

It is a plaindrome in base 15.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 821367.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821377) 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, 259 + ... + 1307.

It is an arithmetic number, because the mean of its divisors is an integer number (78750).

2⁸²¹³⁶⁷ is an apocalyptic number.

821367 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

821367 is a deficient number, since it is larger than the sum of its proper divisors (438633).

821367 is a wasteful number, since it uses less digits than its factorization.

821367 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1081 counting only the distinct ones).

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

The square root of 821367 is about 906.2929989799. The cubic root of 821367 is about 93.6509994917.

The spelling of 821367 in words is "eight hundred twenty-one thousand, three hundred sixty-seven".