1005240933 has 18 divisors (see below), whose sum is σ = 1472820102. Its totient is φ = 660691920.

The previous prime is 1005240913. The next prime is 1005240953. The reversal of 1005240933 is 3390425001.

1005240933 is a `hidden beast` number, since 100 + 524 + 0 + 9 + 33 = 666.

It is an interprime number because it is at equal distance from previous prime (1005240913) and next prime (1005240953).

It can be written as a sum of positive squares in only one way, i.e., 967085604 + 38155329 = 31098^2 + 6177^2 .

It is not a de Polignac number, because 1005240933 - 2⁶ = 1005240869 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1005240897 and 1005240906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005240913) 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 17 ways as a sum of consecutive naturals, for example, 34291 + ... + 56447.

It is an arithmetic number, because the mean of its divisors is an integer number (81823339).

Almost surely, 2^1005240933 is an apocalyptic number.

It is an amenable number.

1005240933 is a deficient number, since it is larger than the sum of its proper divisors (467579169).

1005240933 is an equidigital number, since it uses as much as digits as its factorization.

1005240933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22305 (or 22231 counting only the distinct ones).

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

The square root of 1005240933 is about 31705.5347376448. The cubic root of 1005240933 is about 1001.7439345909.

Adding to 1005240933 its reverse (3390425001), we get a palindrome (4395665934).

The spelling of 1005240933 in words is "one billion, five million, two hundred forty thousand, nine hundred thirty-three".