338145003 has 32 divisors (see below), whose sum is σ = 574648320. Its totient is φ = 192507840.

The previous prime is 338144971. The next prime is 338145037. The reversal of 338145003 is 300541833.

It is a happy number.

It is not a de Polignac number, because 338145003 - 2⁵ = 338144971 is a prime.

It is a super-2 number, since 2×338145003² = 228684086107740018, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (338145803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49926 + ... + 56292.

It is an arithmetic number, because the mean of its divisors is an integer number (17957760).

Almost surely, 2^338145003 is an apocalyptic number.

338145003 is a deficient number, since it is larger than the sum of its proper divisors (236503317).

338145003 is a wasteful number, since it uses less digits than its factorization.

338145003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6664 (or 6658 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 338145003 is about 18388.7194497061. The cubic root of 338145003 is about 696.6815744567.

Adding to 338145003 its reverse (300541833), we get a palindrome (638686836).

It can be divided in two parts, 3381 and 45003, that added together give a palindrome (48384).

The spelling of 338145003 in words is "three hundred thirty-eight million, one hundred forty-five thousand, three".