217628001 has 24 divisors (see below), whose sum is σ = 335013120. Its totient is φ = 135818496.

The previous prime is 217627997. The next prime is 217628003. The reversal of 217628001 is 100826712.

It is not a de Polignac number, because 217628001 - 2² = 217627997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (217628003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1456 + ... + 20913.

It is an arithmetic number, because the mean of its divisors is an integer number (13958880).

Almost surely, 2^217628001 is an apocalyptic number.

It is an amenable number.

217628001 is a deficient number, since it is larger than the sum of its proper divisors (117385119).

217628001 is a wasteful number, since it uses less digits than its factorization.

217628001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22445 (or 22442 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 217628001 is about 14752.2202057860. The cubic root of 217628001 is about 601.5036369786.

The spelling of 217628001 in words is "two hundred seventeen million, six hundred twenty-eight thousand, one".