213742664 has 32 divisors (see below), whose sum is σ = 408491640. Its totient is φ = 104832000.

The previous prime is 213742583. The next prime is 213742681. The reversal of 213742664 is 466247312.

213742664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 188842564 + 24900100 = 13742^2 + 4990^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90134 + ... + 92474.

Almost surely, 2^213742664 is an apocalyptic number.

It is an amenable number.

213742664 is a deficient number, since it is larger than the sum of its proper divisors (194748976).

213742664 is a wasteful number, since it uses less digits than its factorization.

213742664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2561 (or 2557 counting only the distinct ones).

The product of its digits is 48384, while the sum is 35.

The square root of 213742664 is about 14619.9406291544. The cubic root of 213742664 is about 597.9025504602.

Adding to 213742664 its reverse (466247312), we get a palindrome (679989976).

The spelling of 213742664 in words is "two hundred thirteen million, seven hundred forty-two thousand, six hundred sixty-four".