65728953 has 24 divisors (see below), whose sum is σ = 100894248. Its totient is φ = 41091072.

The previous prime is 65728933. The next prime is 65728969. The reversal of 65728953 is 35982756.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10419984 + 55308969 = 3228^2 + 7437^2 .

It is not a de Polignac number, because 65728953 - 2¹⁰ = 65727929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 65728899 and 65728908.

It is not an unprimeable number, because it can be changed into a prime (65728913) 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 23 ways as a sum of consecutive naturals, for example, 53401 + ... + 54617.

It is an arithmetic number, because the mean of its divisors is an integer number (4203927).

Almost surely, 2^65728953 is an apocalyptic number.

It is an amenable number.

65728953 is a deficient number, since it is larger than the sum of its proper divisors (35165295).

65728953 is a wasteful number, since it uses less digits than its factorization.

65728953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593 (or 1590 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 65728953 is about 8107.3394526195. The cubic root of 65728953 is about 403.5700278767.

The spelling of 65728953 in words is "sixty-five million, seven hundred twenty-eight thousand, nine hundred fifty-three".