216516741 has 24 divisors (see below), whose sum is σ = 346662144. Its totient is φ = 119730240.

The previous prime is 216516691. The next prime is 216516757. The reversal of 216516741 is 147615612.

216516741 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 216516741 - 2¹⁹ = 215992453 is a prime.

It is a super-2 number, since 2×216516741² = 93758998266522162, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216516541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19200 + ... + 28313.

It is an arithmetic number, because the mean of its divisors is an integer number (14444256).

Almost surely, 2^216516741 is an apocalyptic number.

216516741 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

216516741 is a deficient number, since it is larger than the sum of its proper divisors (130145403).

216516741 is a wasteful number, since it uses less digits than its factorization.

216516741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47561 (or 47554 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 216516741 is about 14714.5078409031. The cubic root of 216516741 is about 600.4780828490.

The spelling of 216516741 in words is "two hundred sixteen million, five hundred sixteen thousand, seven hundred forty-one".