65828001 has 16 divisors (see below), whose sum is σ = 93824640. Its totient is φ = 40951680.

The previous prime is 65827987. The next prime is 65828033. The reversal of 65828001 is 10082856.

It is not a de Polignac number, because 65828001 - 2⁷ = 65827873 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 65828001.

It is not an unprimeable number, because it can be changed into a prime (65828041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8806 + ... + 14463.

It is an arithmetic number, because the mean of its divisors is an integer number (5864040).

Almost surely, 2^65828001 is an apocalyptic number.

It is an amenable number.

65828001 is a deficient number, since it is larger than the sum of its proper divisors (27996639).

65828001 is a wasteful number, since it uses less digits than its factorization.

65828001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23336.

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 65828001 is about 8113.4456921828. The cubic root of 65828001 is about 403.7726414918.

The spelling of 65828001 in words is "sixty-five million, eight hundred twenty-eight thousand, one".