220859 has 2 divisors, whose sum is σ = 220860. Its totient is φ = 220858.

The previous prime is 220841. The next prime is 220861. The reversal of 220859 is 958022.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-220859 is a prime.

Together with 220861, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

It is equal to p₁₉₆₈₂ and since 220859 and 19682 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 15.

It is a zygodrome in base 6.

It is not a weakly prime, because it can be changed into another prime (220879) 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, 110429 + 110430.

It is an arithmetic number, because the mean of its divisors is an integer number (110430).

2²²⁰⁸⁵⁹ is an apocalyptic number.

220859 is a deficient number, since it is larger than the sum of its proper divisors (1).

220859 is an equidigital number, since it uses as much as digits as its factorization.

220859 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 220859 is about 469.9563809547. The cubic root of 220859 is about 60.4465753356.

It can be divided in two parts, 22085 and 9, that multiplied together give a triangular number (198765 = T₆₃₀).

The spelling of 220859 in words is "two hundred twenty thousand, eight hundred fifty-nine".