77105961 has 9 divisors (see below), whose sum is σ = 111413341. Its totient is φ = 51386412.

The previous prime is 77105947. The next prime is 77105981. The reversal of 77105961 is 16950177.

The square root of 77105961 is 8781.

It is a perfect power (a square), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2^k-77105961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77105981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24880 + ... + 27806.

Almost surely, 2^77105961 is an apocalyptic number.

77105961 is the 8781-st square number.

77105961 is the 4391-st centered octagonal number.

It is an amenable number.

77105961 is a deficient number, since it is larger than the sum of its proper divisors (34307380).

77105961 is an frugal number, since it uses more digits than its factorization.

77105961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5860 (or 2930 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 36.

The cubic root of 77105961 is about 425.6271451566.

Multiplying 77105961 by its sum of digits (36), we get a square (2775814596 = 52686²).

The spelling of 77105961 in words is "seventy-seven million, one hundred five thousand, nine hundred sixty-one".