9006401 has 4 divisors (see below), whose sum is σ = 9013332. Its totient is φ = 8999472.

The previous prime is 9006397. The next prime is 9006419. The reversal of 9006401 is 1046009.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 1046009 = 461 ⋅2269.

It can be written as a sum of positive squares in 2 ways, for example, as 4060225 + 4946176 = 2015^2 + 2224^2 .

It is a cyclic number.

It is not a de Polignac number, because 9006401 - 2² = 9006397 is a prime.

It is a super-2 number, since 2×9006401² = 162230517945602, which contains 22 as substring.

It is a deceptive number, since it divides R_9006400.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9006601) 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, 866 + ... + 4331.

It is an arithmetic number, because the mean of its divisors is an integer number (2253333).

It is a Poulet number, since it divides 2^9006400-1.

Almost surely, 2^9006401 is an apocalyptic number.

9006401 is the 1733-rd octagonal number.

It is an amenable number.

9006401 is a deficient number, since it is larger than the sum of its proper divisors (6931).

9006401 is a wasteful number, since it uses less digits than its factorization.

9006401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6930.

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

The square root of 9006401 is about 3001.0666437119. The cubic root of 9006401 is about 208.0576840135.

The spelling of 9006401 in words is "nine million, six thousand, four hundred one".