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997001221 is a prime number
BaseRepresentation
bin111011011011010…
…000100000000101
32120111000220120011
4323123100200011
54020213014341
6242533110221
733464241046
oct7333204005
92514026504
10997001221
11471865857
12239a88371
1312b72a268
14965aa8cd
155c7dcb81
hex3b6d0805

997001221 has 2 divisors, whose sum is σ = 997001222. Its totient is φ = 997001220.

The previous prime is 997001219. The next prime is 997001233. The reversal of 997001221 is 122100799.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 869424196 + 127577025 = 29486^2 + 11295^2 .

It is an emirp because it is prime and its reverse (122100799) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 997001221 - 21 = 997001219 is a prime.

It is a super-2 number, since 2×9970012212 = 1988022869350981682, which contains 22 as substring.

Together with 997001219, it forms a pair of twin primes.

997001221 is a modest number, since divided by 1221 gives 997 as remainder.

It is equal to p50702836 and since 997001221 and 50702836 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (997001281) 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, 498500610 + 498500611.

It is an arithmetic number, because the mean of its divisors is an integer number (498500611).

Almost surely, 2997001221 is an apocalyptic number.

It is an amenable number.

997001221 is a deficient number, since it is larger than the sum of its proper divisors (1).

997001221 is an equidigital number, since it uses as much as digits as its factorization.

997001221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 31.

The square root of 997001221 is about 31575.3261424170. The cubic root of 997001221 is about 998.9994061459. Note that the first 3 decimals are identical.

The spelling of 997001221 in words is "nine hundred ninety-seven million, one thousand, two hundred twenty-one".