415201 has 2 divisors, whose sum is σ = 415202. Its totient is φ = 415200.

The previous prime is 415189. The next prime is 415213. The reversal of 415201 is 102514.

It is a balanced prime because it is at equal distance from previous prime (415189) and next prime (415213).

It can be written as a sum of positive squares in only one way, i.e., 274576 + 140625 = 524^2 + 375^2 .

It is a cyclic number.

It is not a de Polignac number, because 415201 - 2⁷ = 415073 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (415231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207600 + 207601.

It is an arithmetic number, because the mean of its divisors is an integer number (207601).

2⁴¹⁵²⁰¹ is an apocalyptic number.

It is an amenable number.

415201 is a deficient number, since it is larger than the sum of its proper divisors (1).

415201 is an equidigital number, since it uses as much as digits as its factorization.

415201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 415201 is about 644.3609237066. The cubic root of 415201 is about 74.6023996142.

Adding to 415201 its reverse (102514), we get a palindrome (517715).

It can be divided in two parts, 415 and 201, that added together give a palindrome (616).

The spelling of 415201 in words is "four hundred fifteen thousand, two hundred one".