202953 has 4 divisors (see below), whose sum is σ = 270608. Its totient is φ = 135300.

The previous prime is 202949. The next prime is 202967. The reversal of 202953 is 359202.

202953 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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 not a de Polignac number, because 202953 - 2² = 202949 is a prime.

It is a d-powerful number, because it can be written as 2¹⁵ + 0 + 9⁵ + 2¹⁵ + 5⁷ + 3⁵ .

It is a D-number.

It is a Duffinian number.

202953 is strictly pandigital in base 7.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 202953.

It is not an unprimeable number, because it can be changed into a prime (202933) 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, 33823 + ... + 33828.

It is an arithmetic number, because the mean of its divisors is an integer number (67652).

2²⁰²⁹⁵³ is an apocalyptic number.

It is an amenable number.

202953 is a deficient number, since it is larger than the sum of its proper divisors (67655).

202953 is an equidigital number, since it uses as much as digits as its factorization.

202953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67654.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 202953 is about 450.5030521539. The cubic root of 202953 is about 58.7667705254.

The spelling of 202953 in words is "two hundred two thousand, nine hundred fifty-three".