202814 has 8 divisors (see below), whose sum is σ = 317520. Its totient is φ = 96976.

The previous prime is 202799. The next prime is 202817. The reversal of 202814 is 418202.

202814 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×202814² = 82267037192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202792 and 202801.

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 202814.

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, 2159 + ... + 2250.

It is an arithmetic number, because the mean of its divisors is an integer number (39690).

2²⁰²⁸¹⁴ is an apocalyptic number.

202814 is a deficient number, since it is larger than the sum of its proper divisors (114706).

202814 is a wasteful number, since it uses less digits than its factorization.

202814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4434.

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 202814 is about 450.3487537454. The cubic root of 202814 is about 58.7533512499.

It can be divided in two parts, 20 and 2814, that multiplied together give a triangular number (56280 = T₃₃₅).

The spelling of 202814 in words is "two hundred two thousand, eight hundred fourteen".