80905653 has 6 divisors (see below), whose sum is σ = 116863734. Its totient is φ = 53937096.

The previous prime is 80905637. The next prime is 80905687. The reversal of 80905653 is 35650908.

80905653 is a `hidden beast` number, since 8 + 0 + 90 + 565 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 64112049 + 16793604 = 8007^2 + 4098^2 .

It is not a de Polignac number, because 80905653 - 2⁴ = 80905637 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80905603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4494750 + ... + 4494767.

It is an arithmetic number, because the mean of its divisors is an integer number (19477289).

Almost surely, 2^80905653 is an apocalyptic number.

It is an amenable number.

80905653 is a deficient number, since it is larger than the sum of its proper divisors (35958081).

80905653 is a wasteful number, since it uses less digits than its factorization.

80905653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8989523 (or 8989520 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 80905653 is about 8994.7569728148. The cubic root of 80905653 is about 432.5068158014.

The spelling of 80905653 in words is "eighty million, nine hundred five thousand, six hundred fifty-three".