8213733 has 24 divisors (see below), whose sum is σ = 13047840. Its totient is φ = 4937760.

The previous prime is 8213717. The next prime is 8213743. The reversal of 8213733 is 3373128.

It is not a de Polignac number, because 8213733 - 2⁴ = 8213717 is a prime.

8213733 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 8213697 and 8213706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8213743) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15883 + ... + 16391.

It is an arithmetic number, because the mean of its divisors is an integer number (543660).

Almost surely, 2^8213733 is an apocalyptic number.

It is an amenable number.

8213733 is a deficient number, since it is larger than the sum of its proper divisors (4834107).

8213733 is a wasteful number, since it uses less digits than its factorization.

8213733 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 686 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 8213733 is about 2865.9610953396. The cubic root of 8213733 is about 201.7654779150.

It can be divided in two parts, 821 and 3733, that added together give a palindrome (4554).

The spelling of 8213733 in words is "eight million, two hundred thirteen thousand, seven hundred thirty-three".