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113821 = 432647
BaseRepresentation
bin11011110010011101
312210010121
4123302131
512120241
62234541
7652561
oct336235
9183117
10113821
1178574
1255a51
133ca66
142d6a1
1523ad1
hex1bc9d

113821 has 4 divisors (see below), whose sum is σ = 116512. Its totient is φ = 111132.

The previous prime is 113819. The next prime is 113837. The reversal of 113821 is 128311.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a 4-Lehmer number, since φ(113821) divides (113821-1)4.

It is a cyclic number.

It is not a de Polignac number, because 113821 - 21 = 113819 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 113795 and 113804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113891) 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 in 3 ways as a sum of consecutive naturals, for example, 1281 + ... + 1366.

It is an arithmetic number, because the mean of its divisors is an integer number (29128).

2113821 is an apocalyptic number.

It is an amenable number.

113821 is a deficient number, since it is larger than the sum of its proper divisors (2691).

113821 is an equidigital number, since it uses as much as digits as its factorization.

113821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2690.

The product of its digits is 48, while the sum is 16.

The square root of 113821 is about 337.3736800641. The cubic root of 113821 is about 48.4626843021.

The spelling of 113821 in words is "one hundred thirteen thousand, eight hundred twenty-one".

Divisors: 1 43 2647 113821