7638003 has 8 divisors (see below), whose sum is σ = 11315600. Its totient is φ = 5091984.

The previous prime is 7637977. The next prime is 7638011. The reversal of 7638003 is 3008367.

It is a happy number.

It is not a de Polignac number, because 7638003 - 2¹⁴ = 7621619 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: 282889 = 7638003 / (7 + 6 + 3 + 8 + 0 + 0 + 3).

It is a Duffinian number.

7638003 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (7638023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141418 + ... + 141471.

It is an arithmetic number, because the mean of its divisors is an integer number (1414450).

Almost surely, 2^7638003 is an apocalyptic number.

7638003 is a deficient number, since it is larger than the sum of its proper divisors (3677597).

7638003 is a wasteful number, since it uses less digits than its factorization.

7638003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282898 (or 282892 counting only the distinct ones).

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

The square root of 7638003 is about 2763.6937239861. The cubic root of 7638003 is about 196.9366781807.

The spelling of 7638003 in words is "seven million, six hundred thirty-eight thousand, three".