1388382121 has 9 divisors (see below), whose sum is σ = 1615360221. Its totient is φ = 1189818252.

The previous prime is 1388382091. The next prime is 1388382131. The reversal of 1388382121 is 1212838831.

The square root of 1388382121 is 37261.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 1388382121 - 2⁹ = 1388381609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1388382131) 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 8 ways as a sum of consecutive naturals, for example, 258166 + ... + 263488.

It is an arithmetic number, because the mean of its divisors is an integer number (179484469).

Almost surely, 2^1388382121 is an apocalyptic number.

1388382121 is the 37261-st square number.

1388382121 is the 18631-st centered octagonal number.

It is an amenable number.

1388382121 is a deficient number, since it is larger than the sum of its proper divisors (226978100).

1388382121 is an frugal number, since it uses more digits than its factorization.

1388382121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10660 (or 5330 counting only the distinct ones).

The product of its digits is 18432, while the sum is 37.

The cubic root of 1388382121 is about 1115.5858681135.

The spelling of 1388382121 in words is "one billion, three hundred eighty-eight million, three hundred eighty-two thousand, one hundred twenty-one".