8212833 has 20 divisors (see below), whose sum is σ = 12572868. Its totient is φ = 5339520.

The previous prime is 8212811. The next prime is 8212837. The reversal of 8212833 is 3382128.

It can be written as a sum of positive squares in 2 ways, for example, as 2862864 + 5349969 = 1692^2 + 2313^2 .

It is not a de Polignac number, because 8212833 - 2⁵ = 8212801 is a prime.

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

It is an Ulam number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 8212797 and 8212806.

It is not an unprimeable number, because it can be changed into a prime (8212837) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2085 + ... + 4557.

Almost surely, 2^8212833 is an apocalyptic number.

It is an amenable number.

8212833 is a deficient number, since it is larger than the sum of its proper divisors (4360035).

8212833 is a wasteful number, since it uses less digits than its factorization.

8212833 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2526 (or 2517 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 8212833 is about 2865.8040756479. The cubic root of 8212833 is about 201.7581083238.

It can be divided in two parts, 8212 and 833, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 8212833 in words is "eight million, two hundred twelve thousand, eight hundred thirty-three".