207961 has 8 divisors (see below), whose sum is σ = 237384. Its totient is φ = 180480.

The previous prime is 207953. The next prime is 207967. The reversal of 207961 is 169702.

207961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 32400 + 175561 = 180^2 + 419^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 207961 - 2³ = 207953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (207967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 250 + ... + 691.

It is an arithmetic number, because the mean of its divisors is an integer number (29673).

2²⁰⁷⁹⁶¹ is an apocalyptic number.

It is an amenable number.

207961 is a deficient number, since it is larger than the sum of its proper divisors (29423).

207961 is a wasteful number, since it uses less digits than its factorization.

207961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971.

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 207961 is about 456.0274114568. The cubic root of 207961 is about 59.2462180166.

Subtracting from 207961 its sum of digits (25), we obtain a square (207936 = 456²).

The spelling of 207961 in words is "two hundred seven thousand, nine hundred sixty-one".