201952 has 12 divisors (see below), whose sum is σ = 397656. Its totient is φ = 100960.

The previous prime is 201947. The next prime is 201953. The reversal of 201952 is 259102.

It is a super-2 number, since 2×201952² = 81569220608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201953) by changing a digit.

201952 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3124 + ... + 3187.

It is an arithmetic number, because the mean of its divisors is an integer number (33138).

2²⁰¹⁹⁵² is an apocalyptic number.

It is an amenable number.

201952 is a deficient number, since it is larger than the sum of its proper divisors (195704).

201952 is an equidigital number, since it uses as much as digits as its factorization.

201952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6321 (or 6313 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 201952 is about 449.3906986131. The cubic root of 201952 is about 58.6699952198.

The spelling of 201952 in words is "two hundred one thousand, nine hundred fifty-two".