1005331338 has 96 divisors (see below), whose sum is σ = 2475712512. Its totient is φ = 303231600.

The previous prime is 1005331337. The next prime is 1005331339. The reversal of 1005331338 is 8331335001.

It is an interprime number because it is at equal distance from previous prime (1005331337) and next prime (1005331339).

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 (1005331331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2047273 + ... + 2047763.

It is an arithmetic number, because the mean of its divisors is an integer number (25788672).

Almost surely, 2^1005331338 is an apocalyptic number.

1005331338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005331338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237856256).

1005331338 is an abundant number, since it is smaller than the sum of its proper divisors (1470381174).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1005331338 is a wasteful number, since it uses less digits than its factorization.

1005331338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 1005331338 is about 31706.9604030408. The cubic root of 1005331338 is about 1001.7739638580.

Adding to 1005331338 its reverse (8331335001), we get a palindrome (9336666339).

The spelling of 1005331338 in words is "one billion, five million, three hundred thirty-one thousand, three hundred thirty-eight".