1385531667 has 24 divisors (see below), whose sum is σ = 2160010944. Its totient is φ = 850760064.

The previous prime is 1385531657. The next prime is 1385531687. The reversal of 1385531667 is 7661355831.

1385531667 is a `hidden beast` number, since 1 + 38 + 553 + 1 + 6 + 67 = 666.

It is not a de Polignac number, because 1385531667 - 2²⁴ = 1368754451 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1385531657) 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 23 ways as a sum of consecutive naturals, for example, 41383 + ... + 66959.

It is an arithmetic number, because the mean of its divisors is an integer number (90000456).

Almost surely, 2^1385531667 is an apocalyptic number.

1385531667 is a deficient number, since it is larger than the sum of its proper divisors (774479277).

1385531667 is a wasteful number, since it uses less digits than its factorization.

1385531667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26059 (or 26056 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 1385531667 is about 37222.7305151033. The cubic root of 1385531667 is about 1114.8218841815.

The spelling of 1385531667 in words is "one billion, three hundred eighty-five million, five hundred thirty-one thousand, six hundred sixty-seven".