1461106961 has 2 divisors, whose sum is σ = 1461106962. Its totient is φ = 1461106960.

The previous prime is 1461106943. The next prime is 1461106967. The reversal of 1461106961 is 1696011641.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 901500625 + 559606336 = 30025^2 + 23656^2 .

It is an emirp because it is prime and its reverse (1696011641) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1461106961 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1461106967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 730553480 + 730553481.

It is an arithmetic number, because the mean of its divisors is an integer number (730553481).

Almost surely, 2^1461106961 is an apocalyptic number.

It is an amenable number.

1461106961 is a deficient number, since it is larger than the sum of its proper divisors (1).

1461106961 is an equidigital number, since it uses as much as digits as its factorization.

1461106961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 1461106961 is about 38224.4288511941. The cubic root of 1461106961 is about 1134.7338313802.

The spelling of 1461106961 in words is "one billion, four hundred sixty-one million, one hundred six thousand, nine hundred sixty-one".