1004214001 has 16 divisors (see below), whose sum is σ = 1193322240. Its totient is φ = 826822080.

The previous prime is 1004213993. The next prime is 1004214007. The reversal of 1004214001 is 1004124001.

It is not a de Polignac number, because 1004214001 - 2³ = 1004213993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1004214007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 27436 + ... + 52546.

It is an arithmetic number, because the mean of its divisors is an integer number (74582640).

Almost surely, 2^1004214001 is an apocalyptic number.

It is an amenable number.

1004214001 is a deficient number, since it is larger than the sum of its proper divisors (189108239).

1004214001 is a wasteful number, since it uses less digits than its factorization.

1004214001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25344.

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 1004214001 is about 31689.3357614198. The cubic root of 1004214001 is about 1001.4026985169.

Adding to 1004214001 its reverse (1004124001), we get a palindrome (2008338002).

Subtracting from 1004214001 its reverse (1004124001), we obtain a square (90000 = 300²).

The spelling of 1004214001 in words is "one billion, four million, two hundred fourteen thousand, one".