821093 has 12 divisors (see below), whose sum is σ = 1029420. Its totient is φ = 649152.

The previous prime is 821089. The next prime is 821099. The reversal of 821093 is 390128.

821093 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 388129 + 432964 = 623^2 + 658^2 .

It is not a de Polignac number, because 821093 - 2² = 821089 is a prime.

It is a Curzon number.

It is a plaindrome in base 15.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821099) 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, 8 + ... + 1281.

It is an arithmetic number, because the mean of its divisors is an integer number (85785).

2⁸²¹⁰⁹³ is an apocalyptic number.

It is an amenable number.

821093 is a deficient number, since it is larger than the sum of its proper divisors (208327).

821093 is a wasteful number, since it uses less digits than its factorization.

821093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 821093 is about 906.1418211296. The cubic root of 821093 is about 93.6405846476.

The spelling of 821093 in words is "eight hundred twenty-one thousand, ninety-three".