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113983 is a prime number
BaseRepresentation
bin11011110100111111
312210100121
4123310333
512121413
62235411
7653212
oct336477
9183317
10113983
1178701
1255b67
133cb5c
142d779
1523b8d
hex1bd3f

113983 has 2 divisors, whose sum is σ = 113984. Its totient is φ = 113982.

The previous prime is 113969. The next prime is 113989. The reversal of 113983 is 389311.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-113983 is a prime.

113983 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113989) 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, 56991 + 56992.

It is an arithmetic number, because the mean of its divisors is an integer number (56992).

2113983 is an apocalyptic number.

113983 is a deficient number, since it is larger than the sum of its proper divisors (1).

113983 is an equidigital number, since it uses as much as digits as its factorization.

113983 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 648, while the sum is 25.

The square root of 113983 is about 337.6136845568. The cubic root of 113983 is about 48.4856655126.

The spelling of 113983 in words is "one hundred thirteen thousand, nine hundred eighty-three".