1398094321 has 32 divisors (see below), whose sum is σ = 1622748960. Its totient is φ = 1194891264.

The previous prime is 1398094279. The next prime is 1398094337. The reversal of 1398094321 is 1234908931.

1398094321 = 26439² + 26440².

It can be written as a sum of positive squares in 16 ways, for example, as 829921 + 1397264400 = 911^2 + 37380^2 .

It is a 5-Lehmer number, since φ(1398094321) divides (1398094321-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 1398094321 - 2⁷ = 1398094193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1398094351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1017591 + ... + 1018963.

It is an arithmetic number, because the mean of its divisors is an integer number (50710905).

Almost surely, 2^1398094321 is an apocalyptic number.

1398094321 is the 26440-th centered square number.

It is an amenable number.

1398094321 is a deficient number, since it is larger than the sum of its proper divisors (224654639).

1398094321 is a wasteful number, since it uses less digits than its factorization.

1398094321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525.

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 1398094321 is about 37391.0994890495. The cubic root of 1398094321 is about 1118.1811254021.

The spelling of 1398094321 in words is "one billion, three hundred ninety-eight million, ninety-four thousand, three hundred twenty-one".