93820 has 12 divisors (see below), whose sum is σ = 197064. Its totient is φ = 37520.

The previous prime is 93811. The next prime is 93827. The reversal of 93820 is 2839.

93820 = T₁₁₉ + T₁₂₀ + ... + T₁₃₀.

93820 is nontrivially palindromic in base 12.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 93791 and 93800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93827) 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, 2326 + ... + 2365.

It is an arithmetic number, because the mean of its divisors is an integer number (16422).

2⁹³⁸²⁰ is an apocalyptic number.

It is an amenable number.

93820 is an abundant number, since it is smaller than the sum of its proper divisors (103244).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98532).

93820 is a wasteful number, since it uses less digits than its factorization.

93820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4700 (or 4698 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 93820 is about 306.3005060394. The cubic root of 93820 is about 45.4393185360.

The spelling of 93820 in words is "ninety-three thousand, eight hundred twenty".