1000033405 has 24 divisors (see below), whose sum is σ = 1397358648. Its totient is φ = 685052928.

The previous prime is 1000033393. The next prime is 1000033423. The reversal of 1000033405 is 5043300001.

It can be written as a sum of positive squares in 4 ways, for example, as 93180409 + 906852996 = 9653^2 + 30114^2 .

It is not a de Polignac number, because 1000033405 - 2¹⁵ = 1000000637 is a prime.

It is a super-2 number, since 2×1000033405² = 2000133622231788050, which contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 434217 + ... + 436513.

It is an arithmetic number, because the mean of its divisors is an integer number (58223277).

Almost surely, 2^1000033405 is an apocalyptic number.

It is an amenable number.

1000033405 is a deficient number, since it is larger than the sum of its proper divisors (397325243).

1000033405 is a wasteful number, since it uses less digits than its factorization.

1000033405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4093 (or 4086 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 1000033405 is about 31623.3047766991. The cubic root of 1000033405 is about 1000.0111348760.

Adding to 1000033405 its reverse (5043300001), we get a palindrome (6043333406).

The spelling of 1000033405 in words is "one billion, thirty-three thousand, four hundred five".