906401 has 4 divisors (see below), whose sum is σ = 910404. Its totient is φ = 902400.

The previous prime is 906391. The next prime is 906403. The reversal of 906401 is 104609.

906401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 104609 = 73 ⋅1433.

It can be written as a sum of positive squares in 2 ways, for example, as 547600 + 358801 = 740^2 + 599^2 .

It is a cyclic number.

It is not a de Polignac number, because 906401 - 2¹⁸ = 644257 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 906401.

It is not an unprimeable number, because it can be changed into a prime (906403) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1640 + ... + 2121.

It is an arithmetic number, because the mean of its divisors is an integer number (227601).

2⁹⁰⁶⁴⁰¹ is an apocalyptic number.

It is an amenable number.

906401 is a deficient number, since it is larger than the sum of its proper divisors (4003).

906401 is a wasteful number, since it uses less digits than its factorization.

906401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4002.

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 906401 is about 952.0509440151. The cubic root of 906401 is about 96.7772904517. Note that the first 3 decimals are identical.

The spelling of 906401 in words is "nine hundred six thousand, four hundred one".