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199931 is a prime number
BaseRepresentation
bin110000110011111011
3101011020212
4300303323
522344211
64141335
71461614
oct606373
9334225
10199931
11127236
129784b
1370004
1452c0b
153e38b
hex30cfb

199931 has 2 divisors, whose sum is σ = 199932. Its totient is φ = 199930.

The previous prime is 199921. The next prime is 199933. The reversal of 199931 is 139991.

It is a strong prime.

It is an emirp because it is prime and its reverse (139991) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-199931 is a prime.

It is a super-2 number, since 2×1999312 = 79944809522, which contains 22 as substring.

Together with 199933, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (199933) 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, 99965 + 99966.

It is an arithmetic number, because the mean of its divisors is an integer number (99966).

2199931 is an apocalyptic number.

199931 is a deficient number, since it is larger than the sum of its proper divisors (1).

199931 is an equidigital number, since it uses as much as digits as its factorization.

199931 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2187, while the sum is 32.

The square root of 199931 is about 447.1364444999. The cubic root of 199931 is about 58.4736287499.

The spelling of 199931 in words is "one hundred ninety-nine thousand, nine hundred thirty-one".