8038413 has 8 divisors (see below), whose sum is σ = 11908800. Its totient is φ = 5358924.

The previous prime is 8038409. The next prime is 8038441. The reversal of 8038413 is 3148308.

It is not a de Polignac number, because 8038413 - 2² = 8038409 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 297719 = 8038413 / (8 + 0 + 3 + 8 + 4 + 1 + 3).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8038453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148833 + ... + 148886.

It is an arithmetic number, because the mean of its divisors is an integer number (1488600).

Almost surely, 2^8038413 is an apocalyptic number.

It is an amenable number.

8038413 is a deficient number, since it is larger than the sum of its proper divisors (3870387).

8038413 is a wasteful number, since it uses less digits than its factorization.

8038413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297728 (or 297722 counting only the distinct ones).

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

The square root of 8038413 is about 2835.2095160676. The cubic root of 8038413 is about 200.3195973490.

It can be divided in two parts, 803 and 8413, that added together give a square (9216 = 96²).

The spelling of 8038413 in words is "eight million, thirty-eight thousand, four hundred thirteen".