415801 has 2 divisors, whose sum is σ = 415802. Its totient is φ = 415800.

The previous prime is 415799. The next prime is 415819. The reversal of 415801 is 108514.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 226576 + 189225 = 476^2 + 435^2 .

It is a cyclic number.

It is not a de Polignac number, because 415801 - 2¹ = 415799 is a prime.

Together with 415799, it forms a pair of twin primes.

It is equal to p₃₅₀₆₅ and since 415801 and 35065 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (415861) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207900 + 207901.

It is an arithmetic number, because the mean of its divisors is an integer number (207901).

2⁴¹⁵⁸⁰¹ is an apocalyptic number.

It is an amenable number.

415801 is a deficient number, since it is larger than the sum of its proper divisors (1).

415801 is an equidigital number, since it uses as much as digits as its factorization.

415801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 415801 is about 644.8263332092. The cubic root of 415801 is about 74.6383178769.

The spelling of 415801 in words is "four hundred fifteen thousand, eight hundred one".