202965 has 16 divisors (see below), whose sum is σ = 371328. Its totient is φ = 92736.

The previous prime is 202949. The next prime is 202967. The reversal of 202965 is 569202.

202965 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 202965 - 2⁴ = 202949 is a prime.

202965 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 862 + ... + 1071.

It is an arithmetic number, because the mean of its divisors is an integer number (23208).

2²⁰²⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

202965 is a deficient number, since it is larger than the sum of its proper divisors (168363).

202965 is a wasteful number, since it uses less digits than its factorization.

202965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 202965 is about 450.5163704018. The cubic root of 202965 is about 58.7679287367.

It can be divided in two parts, 20296 and 5, that added together give a triangular number (20301 = T₂₀₁).

The spelling of 202965 in words is "two hundred two thousand, nine hundred sixty-five".