101961 has 6 divisors (see below), whose sum is σ = 147290. Its totient is φ = 67968.

The previous prime is 101957. The next prime is 101963. The reversal of 101961 is 169101.

It can be written as a sum of positive squares in only one way, i.e., 81225 + 20736 = 285^2 + 144^2 .

It is not a de Polignac number, because 101961 - 2² = 101957 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101963) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5656 + ... + 5673.

2¹⁰¹⁹⁶¹ is an apocalyptic number.

It is an amenable number.

101961 is a deficient number, since it is larger than the sum of its proper divisors (45329).

101961 is a wasteful number, since it uses less digits than its factorization.

101961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11335 (or 11332 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 101961 is about 319.3133257476. The cubic root of 101961 is about 46.7173315957.

The spelling of 101961 in words is "one hundred one thousand, nine hundred sixty-one".