202812 has 12 divisors (see below), whose sum is σ = 473256. Its totient is φ = 67600.

The previous prime is 202799. The next prime is 202817. The reversal of 202812 is 218202.

202812 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×202812² = 82265414688, which contains 22 as substring.

It is a zygodrome in base 2 and base 5.

It is a junction number, because it is equal to n+sod(n) for n = 202791 and 202800.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 202812.

It is not an unprimeable number, because it can be changed into a prime (202817) 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, 8439 + ... + 8462.

It is an arithmetic number, because the mean of its divisors is an integer number (39438).

2²⁰²⁸¹² is an apocalyptic number.

It is an amenable number.

202812 is an abundant number, since it is smaller than the sum of its proper divisors (270444).

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

202812 is a wasteful number, since it uses less digits than its factorization.

202812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16908 (or 16906 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 202812 is about 450.3465332386. The cubic root of 202812 is about 58.7531581221.

It can be divided in two parts, 2028 and 12, that multiplied together give a square (24336 = 156²).

The spelling of 202812 in words is "two hundred two thousand, eight hundred twelve".