65753973 has 12 divisors (see below), whose sum is σ = 96770700. Its totient is φ = 43008576.

The previous prime is 65753957. The next prime is 65753981. The reversal of 65753973 is 37935756.

65753973 is a `hidden beast` number, since 6 + 575 + 3 + 9 + 73 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52664049 + 13089924 = 7257^2 + 3618^2 .

It is not a de Polignac number, because 65753973 - 2⁴ = 65753957 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65753903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68448 + ... + 69401.

It is an arithmetic number, because the mean of its divisors is an integer number (8064225).

Almost surely, 2^65753973 is an apocalyptic number.

It is an amenable number.

65753973 is a deficient number, since it is larger than the sum of its proper divisors (31016727).

65753973 is a wasteful number, since it uses less digits than its factorization.

65753973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137908 (or 137905 counting only the distinct ones).

The product of its digits is 595350, while the sum is 45.

The square root of 65753973 is about 8108.8823520877. The cubic root of 65753973 is about 403.6212282519.

The spelling of 65753973 in words is "sixty-five million, seven hundred fifty-three thousand, nine hundred seventy-three".