201953 has 2 divisors, whose sum is σ = 201954. Its totient is φ = 201952.

The previous prime is 201947. The next prime is 201961. The reversal of 201953 is 359102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 183184 + 18769 = 428^2 + 137^2 .

It is a cyclic number.

It is not a de Polignac number, because 201953 - 2⁴ = 201937 is a prime.

It is not a weakly prime, because it can be changed into another prime (201923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100976 + 100977.

It is an arithmetic number, because the mean of its divisors is an integer number (100977).

2²⁰¹⁹⁵³ is an apocalyptic number.

It is an amenable number.

201953 is a deficient number, since it is larger than the sum of its proper divisors (1).

201953 is an equidigital number, since it uses as much as digits as its factorization.

201953 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 201953 is about 449.3918112294. The cubic root of 201953 is about 58.6700920578.

It can be divided in two parts, 20 and 1953, that multiplied together give a triangular number (39060 = T₂₇₉).

The spelling of 201953 in words is "two hundred one thousand, nine hundred fifty-three".