211077216 has 72 divisors (see below), whose sum is σ = 686007504. Its totient is φ = 60307200.

The previous prime is 211077211. The next prime is 211077221. The reversal of 211077216 is 612770112.

It is an interprime number because it is at equal distance from previous prime (211077211) and next prime (211077221).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×211077216² = 89107182228621312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211077216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211077211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50335 + ... + 54366.

It is an arithmetic number, because the mean of its divisors is an integer number (9527882).

Almost surely, 2^211077216 is an apocalyptic number.

It is an amenable number.

211077216 is an abundant number, since it is smaller than the sum of its proper divisors (474930288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211077216 is a wasteful number, since it uses less digits than its factorization.

211077216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104724 (or 104713 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 211077216 is about 14528.4966875448. The cubic root of 211077216 is about 595.4067938222.

The spelling of 211077216 in words is "two hundred eleven million, seventy-seven thousand, two hundred sixteen".