417102001 has 8 divisors (see below), whose sum is σ = 423669920. Its totient is φ = 410544288.

The previous prime is 417101969. The next prime is 417102029. The reversal of 417102001 is 100201714.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 417102001 - 2⁵ = 417101969 is a prime.

It is a super-3 number, since 3×417102001³ (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (417102031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144565 + ... + 147421.

It is an arithmetic number, because the mean of its divisors is an integer number (52958740).

Almost surely, 2^417102001 is an apocalyptic number.

It is an amenable number.

417102001 is a deficient number, since it is larger than the sum of its proper divisors (6567919).

417102001 is a wasteful number, since it uses less digits than its factorization.

417102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5103.

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 417102001 is about 20423.0752091843. The cubic root of 417102001 is about 747.1608218000.

Adding to 417102001 its reverse (100201714), we get a palindrome (517303715).

The spelling of 417102001 in words is "four hundred seventeen million, one hundred two thousand, one".