1138401 has 16 divisors (see below), whose sum is σ = 1840320. Its totient is φ = 689760.

The previous prime is 1138393. The next prime is 1138409. The reversal of 1138401 is 1048311.

It is an interprime number because it is at equal distance from previous prime (1138393) and next prime (1138409).

It is not a de Polignac number, because 1138401 - 2³ = 1138393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1138409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1620 + ... + 2213.

It is an arithmetic number, because the mean of its divisors is an integer number (115020).

2^1138401 is an apocalyptic number.

1138401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1138401 is a deficient number, since it is larger than the sum of its proper divisors (701919).

1138401 is a wasteful number, since it uses less digits than its factorization.

1138401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3853 (or 3847 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1138401 is about 1066.9587620897. The cubic root of 1138401 is about 104.4155281434.

The spelling of 1138401 in words is "one million, one hundred thirty-eight thousand, four hundred one".