1001216164 has 27 divisors (see below), whose sum is σ = 1898835267. Its totient is φ = 461720064.

The previous prime is 1001216149. The next prime is 1001216239. The reversal of 1001216164 is 4616121001.

The square root of 1001216164 is 31642.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 280830564 + 720385600 = 16758^2 + 26840^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 822084 + ... + 823300.

Almost surely, 2^1001216164 is an apocalyptic number.

1001216164 is the 31642-nd square number.

It is an amenable number.

1001216164 is a deficient number, since it is larger than the sum of its proper divisors (897619103).

1001216164 is an equidigital number, since it uses as much as digits as its factorization.

1001216164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2464 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The cubic root of 1001216164 is about 1000.4052237715.

Adding to 1001216164 its reverse (4616121001), we get a palindrome (5617337165).

The spelling of 1001216164 in words is "one billion, one million, two hundred sixteen thousand, one hundred sixty-four".