80102961 has 12 divisors (see below), whose sum is σ = 115782160. Its totient is φ = 53366040.

The previous prime is 80102921. The next prime is 80102969. The reversal of 80102961 is 16920108.

It is not a de Polignac number, because 80102961 - 2¹⁰ = 80101937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (80102969) 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 11 ways as a sum of consecutive naturals, for example, 22950 + ... + 26208.

Almost surely, 2^80102961 is an apocalyptic number.

It is an amenable number.

80102961 is a deficient number, since it is larger than the sum of its proper divisors (35679199).

80102961 is a wasteful number, since it uses less digits than its factorization.

80102961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5996 (or 5993 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 80102961 is about 8950.0257541529. The cubic root of 80102961 is about 431.0717110524.

It can be divided in two parts, 80 and 102961, that added together give a square (103041 = 321²).

The spelling of 80102961 in words is "eighty million, one hundred two thousand, nine hundred sixty-one".