201961 has 2 divisors, whose sum is σ = 201962. Its totient is φ = 201960.

The previous prime is 201953. The next prime is 201973. The reversal of 201961 is 169102.

201961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 129600 + 72361 = 360^2 + 269^2 .

It is a cyclic number.

It is not a de Polignac number, because 201961 - 2³ = 201953 is a prime.

It is equal to p₁₈₁₄₅ and since 201961 and 18145 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (201911) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100980 + 100981.

It is an arithmetic number, because the mean of its divisors is an integer number (100981).

2²⁰¹⁹⁶¹ is an apocalyptic number.

It is an amenable number.

201961 is a deficient number, since it is larger than the sum of its proper divisors (1).

201961 is an equidigital number, since it uses as much as digits as its factorization.

201961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 201961 is about 449.4007120600. The cubic root of 201961 is about 58.6708667505.

It can be divided in two parts, 2019 and 61, that added together give a triangular number (2080 = T₆₄).

The spelling of 201961 in words is "two hundred one thousand, nine hundred sixty-one".