202820 has 12 divisors (see below), whose sum is σ = 425964. Its totient is φ = 81120.

The previous prime is 202817. The next prime is 202823. The reversal of 202820 is 28202.

202820 is nontrivially palindromic in base 13.

It is an interprime number because it is at equal distance from previous prime (202817) and next prime (202823).

It can be written as a sum of positive squares in 2 ways, for example, as 53824 + 148996 = 232^2 + 386^2 .

It is a super-2 number, since 2×202820² = 82271904800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 202795 and 202804.

It is not an unprimeable number, because it can be changed into a prime (202823) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5051 + ... + 5090.

It is an arithmetic number, because the mean of its divisors is an integer number (35497).

2²⁰²⁸²⁰ is an apocalyptic number.

202820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202820 is an abundant number, since it is smaller than the sum of its proper divisors (223144).

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

202820 is a wasteful number, since it uses less digits than its factorization.

202820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10150 (or 10148 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 202820 is about 450.3554152000. The cubic root of 202820 is about 58.7539306258.

It can be divided in two parts, 2028 and 20, that added together give a 11-th power (2048 = 2¹¹).

The spelling of 202820 in words is "two hundred two thousand, eight hundred twenty".