417131201 has 2 divisors, whose sum is σ = 417131202. Its totient is φ = 417131200.

The previous prime is 417131179. The next prime is 417131233. The reversal of 417131201 is 102131714.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 241833601 + 175297600 = 15551^2 + 13240^2 .

It is a cyclic number.

It is not a de Polignac number, because 417131201 - 2²² = 412936897 is a prime.

It is a super-3 number, since 3×417131201³ (a number of 27 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (417131401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208565600 + 208565601.

It is an arithmetic number, because the mean of its divisors is an integer number (208565601).

Almost surely, 2^417131201 is an apocalyptic number.

It is an amenable number.

417131201 is a deficient number, since it is larger than the sum of its proper divisors (1).

417131201 is an equidigital number, since it uses as much as digits as its factorization.

417131201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 417131201 is about 20423.7900743226. The cubic root of 417131201 is about 747.1782568533.

Adding to 417131201 its reverse (102131714), we get a palindrome (519262915).

The spelling of 417131201 in words is "four hundred seventeen million, one hundred thirty-one thousand, two hundred one".