2007961 has 2 divisors, whose sum is σ = 2007962. Its totient is φ = 2007960.

The previous prime is 2007959. The next prime is 2007979. The reversal of 2007961 is 1697002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1960000 + 47961 = 1400^2 + 219^2 .

It is a cyclic number.

It is not a de Polignac number, because 2007961 - 2¹ = 2007959 is a prime.

It is a super-3 number, since 3×2007961³ = 24287738309023334043, which contains 333 as substring.

Together with 2007959, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2007911) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1003980 + 1003981.

It is an arithmetic number, because the mean of its divisors is an integer number (1003981).

2^2007961 is an apocalyptic number.

It is an amenable number.

2007961 is a deficient number, since it is larger than the sum of its proper divisors (1).

2007961 is an equidigital number, since it uses as much as digits as its factorization.

2007961 is an evil number, because the sum of its binary digits is even.

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

The square root of 2007961 is about 1417.0254055591. The cubic root of 2007961 is about 126.1590541959.

The spelling of 2007961 in words is "two million, seven thousand, nine hundred sixty-one".