202961 has 4 divisors (see below), whose sum is σ = 221424. Its totient is φ = 184500.

The previous prime is 202949. The next prime is 202967. The reversal of 202961 is 169202.

202961 = T₉₄ + T₉₅ + ... + T₁₂₆.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 202961 - 2¹⁰ = 201937 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

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 3 ways as a sum of consecutive naturals, for example, 9215 + ... + 9236.

It is an arithmetic number, because the mean of its divisors is an integer number (55356).

2²⁰²⁹⁶¹ is an apocalyptic number.

It is an amenable number.

202961 is a deficient number, since it is larger than the sum of its proper divisors (18463).

202961 is a wasteful number, since it uses less digits than its factorization.

202961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18462.

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 202961 is about 450.5119310296. The cubic root of 202961 is about 58.7675426713.

The spelling of 202961 in words is "two hundred two thousand, nine hundred sixty-one".