8213825 has 12 divisors (see below), whose sum is σ = 10289148. Its totient is φ = 6504000.

The previous prime is 8213819. The next prime is 8213851. The reversal of 8213825 is 5283128.

It can be written as a sum of positive squares in 6 ways, for example, as 1948816 + 6265009 = 1396^2 + 2503^2 .

It is not a de Polignac number, because 8213825 - 2⁶ = 8213761 is a prime.

It is a super-2 number, since 2×8213825² = 134933842261250, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 899 + ... + 4151.

It is an arithmetic number, because the mean of its divisors is an integer number (857429).

Almost surely, 2^8213825 is an apocalyptic number.

It is an amenable number.

8213825 is a deficient number, since it is larger than the sum of its proper divisors (2075323).

8213825 is a wasteful number, since it uses less digits than its factorization.

8213825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3364 (or 3359 counting only the distinct ones).

The product of its digits is 3840, while the sum is 29.

The square root of 8213825 is about 2865.9771457567. The cubic root of 8213825 is about 201.7662312207.

The spelling of 8213825 in words is "eight million, two hundred thirteen thousand, eight hundred twenty-five".