1382401 has 8 divisors (see below), whose sum is σ = 1451880. Its totient is φ = 1314432.

The previous prime is 1382393. The next prime is 1382419. The reversal of 1382401 is 1042831.

1382401 = T₅₈ + T₅₉ + ... + T₂₀₃.

It can be written as a sum of positive squares in 4 ways, for example, as 119025 + 1263376 = 345^2 + 1124^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 1382401 - 2³ = 1382393 is a prime.

It is a super-2 number, since 2×1382401² = 3822065049602, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1382201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1791 + ... + 2443.

It is an arithmetic number, because the mean of its divisors is an integer number (181485).

It is a Proth number, since it is equal to 675 ⋅ 2¹¹ + 1 and 675 < 2¹¹.

2^1382401 is an apocalyptic number.

It is an amenable number.

1382401 is a deficient number, since it is larger than the sum of its proper divisors (69479).

1382401 is an equidigital number, since it uses as much as digits as its factorization.

1382401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755.

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 1382401 is about 1175.7555017945. The cubic root of 1382401 is about 111.3981588677.

The spelling of 1382401 in words is "one million, three hundred eighty-two thousand, four hundred one".