7872813 has 12 divisors (see below), whose sum is σ = 12246780. Its totient is φ = 4844736.

The previous prime is 7872803. The next prime is 7872817. The reversal of 7872813 is 3182787.

It can be written as a sum of positive squares in 2 ways, for example, as 887364 + 6985449 = 942^2 + 2643^2 .

It is not a de Polignac number, because 7872813 - 2⁴ = 7872797 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7872817) 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, 33528 + ... + 33761.

It is an arithmetic number, because the mean of its divisors is an integer number (1020565).

Almost surely, 2^7872813 is an apocalyptic number.

It is an amenable number.

7872813 is a deficient number, since it is larger than the sum of its proper divisors (4373967).

7872813 is a wasteful number, since it uses less digits than its factorization.

7872813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67308 (or 67305 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 7872813 is about 2805.8533461320. The cubic root of 7872813 is about 198.9344413391.

It can be divided in two parts, 7872 and 813, that multiplied together give a palindrome (6399936).

The spelling of 7872813 in words is "seven million, eight hundred seventy-two thousand, eight hundred thirteen".