1003406316 has 96 divisors (see below), whose sum is σ = 2617284096. Its totient is φ = 296640000.

The previous prime is 1003406297. The next prime is 1003406347. The reversal of 1003406316 is 6136043001.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 972721 + ... + 973751.

It is an arithmetic number, because the mean of its divisors is an integer number (27263376).

Almost surely, 2^1003406316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003406316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308642048).

1003406316 is an abundant number, since it is smaller than the sum of its proper divisors (1613877780).

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

1003406316 is a wasteful number, since it uses less digits than its factorization.

1003406316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 1003406316 is about 31676.5893997444. The cubic root of 1003406316 is about 1001.1341518799.

Adding to 1003406316 its reverse (6136043001), we get a palindrome (7139449317).

The spelling of 1003406316 in words is "one billion, three million, four hundred six thousand, three hundred sixteen".