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216821921 is a prime number
BaseRepresentation
bin11001110110001…
…11000010100001
3120002222200202112
430323013002201
5421001300141
633303125105
75241645611
oct1473070241
9502880675
10216821921
11101432578
1260743795
1335bc6cc4
1420b20a41
151407d7eb
hexcec70a1

216821921 has 2 divisors, whose sum is σ = 216821922. Its totient is φ = 216821920.

The previous prime is 216821809. The next prime is 216821933. The reversal of 216821921 is 129128612.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 116100625 + 100721296 = 10775^2 + 10036^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-216821921 is a prime.

It is a super-2 number, since 2×2168219212 = 94023490852260482, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (216821971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 108410960 + 108410961.

It is an arithmetic number, because the mean of its divisors is an integer number (108410961).

Almost surely, 2216821921 is an apocalyptic number.

It is an amenable number.

216821921 is a deficient number, since it is larger than the sum of its proper divisors (1).

216821921 is an equidigital number, since it uses as much as digits as its factorization.

216821921 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3456, while the sum is 32.

The square root of 216821921 is about 14724.8742269671. The cubic root of 216821921 is about 600.7600747005.

The spelling of 216821921 in words is "two hundred sixteen million, eight hundred twenty-one thousand, nine hundred twenty-one".