211257164 has 48 divisors (see below), whose sum is σ = 402524640. Its totient is φ = 96645120.

The previous prime is 211257131. The next prime is 211257187. The reversal of 211257164 is 461752112.

211257164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 405224 + ... + 405744.

It is an arithmetic number, because the mean of its divisors is an integer number (8385930).

Almost surely, 2^211257164 is an apocalyptic number.

It is an amenable number.

211257164 is a deficient number, since it is larger than the sum of its proper divisors (191267476).

211257164 is a wasteful number, since it uses less digits than its factorization.

211257164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 696 counting only the distinct ones).

The product of its digits is 3360, while the sum is 29.

The square root of 211257164 is about 14534.6883007514. The cubic root of 211257164 is about 595.5759449211.

The spelling of 211257164 in words is "two hundred eleven million, two hundred fifty-seven thousand, one hundred sixty-four".