53688305 has 12 divisors (see below), whose sum is σ = 70816116. Its totient is φ = 39045600.

The previous prime is 53688287. The next prime is 53688307. The reversal of 53688305 is 50388635.

It can be written as a sum of positive squares in 2 ways, for example, as 15335056 + 38353249 = 3916^2 + 6193^2 .

It is not a de Polignac number, because 53688305 - 2¹⁰ = 53687281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (53688307) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43766 + ... + 44975.

It is an arithmetic number, because the mean of its divisors is an integer number (5901343).

Almost surely, 2^53688305 is an apocalyptic number.

53688305 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

53688305 is a deficient number, since it is larger than the sum of its proper divisors (17127811).

53688305 is a wasteful number, since it uses less digits than its factorization.

53688305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88768 (or 88757 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The square root of 53688305 is about 7327.2303771616. The cubic root of 53688305 is about 377.2476684553.

The spelling of 53688305 in words is "fifty-three million, six hundred eighty-eight thousand, three hundred five".