65417730 has 64 divisors (see below), whose sum is σ = 180707328. Its totient is φ = 14846400.

The previous prime is 65417699. The next prime is 65417731. The reversal of 65417730 is 3771456.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 65417691 and 65417700.

It is not an unprimeable number, because it can be changed into a prime (65417731) 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 31 ways as a sum of consecutive naturals, for example, 30679 + ... + 32741.

It is an arithmetic number, because the mean of its divisors is an integer number (2823552).

Almost surely, 2^65417730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65417730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90353664).

65417730 is an abundant number, since it is smaller than the sum of its proper divisors (115289598).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

65417730 is a wasteful number, since it uses less digits than its factorization.

65417730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2231.

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 65417730 is about 8088.1227735489. The cubic root of 65417730 is about 402.9320592242.

The spelling of 65417730 in words is "sixty-five million, four hundred seventeen thousand, seven hundred thirty".