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97931 is a prime number
BaseRepresentation
bin10111111010001011
311222100002
4113322023
511113211
62033215
7555341
oct277213
9158302
1097931
1167639
124880b
1335762
1427991
151e03b
hex17e8b

97931 has 2 divisors, whose sum is σ = 97932. Its totient is φ = 97930.

The previous prime is 97927. The next prime is 97943. The reversal of 97931 is 13979.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 97931 - 22 = 97927 is a prime.

It is a super-2 number, since 2×979312 = 19180961522, which contains 22 as substring.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 97894 and 97903.

It is not a weakly prime, because it can be changed into another prime (97961) 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, 48965 + 48966.

It is an arithmetic number, because the mean of its divisors is an integer number (48966).

297931 is an apocalyptic number.

97931 is a deficient number, since it is larger than the sum of its proper divisors (1).

97931 is an equidigital number, since it uses as much as digits as its factorization.

97931 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1701, while the sum is 29.

The square root of 97931 is about 312.9392912371. The cubic root of 97931 is about 46.0935399684.

The spelling of 97931 in words is "ninety-seven thousand, nine hundred thirty-one".