202992 has 20 divisors (see below), whose sum is σ = 524520. Its totient is φ = 67648.

The previous prime is 202987. The next prime is 202999. The reversal of 202992 is 299202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

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 202992.

It is not an unprimeable number, because it can be changed into a prime (202999) by changing a digit.

202992 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2067 + ... + 2162.

It is an arithmetic number, because the mean of its divisors is an integer number (26226).

2²⁰²⁹⁹² is an apocalyptic number.

It is an amenable number.

202992 is an abundant number, since it is smaller than the sum of its proper divisors (321528).

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

202992 is a wasteful number, since it uses less digits than its factorization.

202992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4240 (or 4234 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 202992 is about 450.5463350201. The cubic root of 202992 is about 58.7705345451.

It can be divided in two parts, 20299 and 2, that added together give a triangular number (20301 = T₂₀₁).

The spelling of 202992 in words is "two hundred two thousand, nine hundred ninety-two".