1005401 has 8 divisors (see below), whose sum is σ = 1069320. Its totient is φ = 943488.

The previous prime is 1005391. The next prime is 1005409. The reversal of 1005401 is 1045001.

It can be written as a sum of positive squares in 4 ways, for example, as 121801 + 883600 = 349^2 + 940^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1005401 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 605 + ... + 1541.

It is an arithmetic number, because the mean of its divisors is an integer number (133665).

2^1005401 is an apocalyptic number.

It is an amenable number.

1005401 is a deficient number, since it is larger than the sum of its proper divisors (63919).

1005401 is an equidigital number, since it uses as much as digits as its factorization.

1005401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003.

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 1005401 is about 1002.6968634637. The cubic root of 1005401 is about 100.1797101824.

The spelling of 1005401 in words is "one million, five thousand, four hundred one".