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97927 is a prime number
BaseRepresentation
bin10111111010000111
311222022221
4113322013
511113202
62033211
7555334
oct277207
9158287
1097927
1167635
1248807
133575b
142798b
151e037
hex17e87

97927 has 2 divisors, whose sum is σ = 97928. Its totient is φ = 97926.

The previous prime is 97919. The next prime is 97931. The reversal of 97927 is 72979.

It can be divided in two parts, 97 and 927, that added together give a 10-th power (1024 = 210).

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 97927 - 23 = 97919 is a prime.

97927 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 97892 and 97901.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (97967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 48963 + 48964.

It is an arithmetic number, because the mean of its divisors is an integer number (48964).

297927 is an apocalyptic number.

97927 is a deficient number, since it is larger than the sum of its proper divisors (1).

97927 is an equidigital number, since it uses as much as digits as its factorization.

97927 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7938, while the sum is 34.

The square root of 97927 is about 312.9329001559. The cubic root of 97927 is about 46.0929123950.

The spelling of 97927 in words is "ninety-seven thousand, nine hundred twenty-seven".