214055200921 has 9 divisors (see below), whose sum is σ = 215813186901. Its totient is φ = 212311431612.

The previous prime is 214055200889. The next prime is 214055200939. The reversal of 214055200921 is 129002550412.

The square root of 214055200921 is 462661.

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

It is not a de Polignac number, because 214055200921 - 2⁵ = 214055200889 is a prime.

It is a super-3 number, since 3×214055200921³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (214055200721) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 58756126 + ... + 58759768.

It is an arithmetic number, because the mean of its divisors is an integer number (23979242989).

Almost surely, 2^214055200921 is an apocalyptic number.

214055200921 is the 462661-st square number.

214055200921 is the 231331-st centered octagonal number.

It is an amenable number.

214055200921 is a deficient number, since it is larger than the sum of its proper divisors (1757985980).

214055200921 is an frugal number, since it uses more digits than its factorization.

214055200921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7540 (or 3770 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The spelling of 214055200921 in words is "two hundred fourteen billion, fifty-five million, two hundred thousand, nine hundred twenty-one".