221003667 has 12 divisors (see below), whose sum is σ = 327527320. Its totient is φ = 147284280.

The previous prime is 221003663. The next prime is 221003677. The reversal of 221003667 is 766300122.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 221003667 - 2² = 221003663 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 221003667.

It is not an unprimeable number, because it can be changed into a prime (221003663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75817 + ... + 78677.

Almost surely, 2^221003667 is an apocalyptic number.

221003667 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

221003667 is a deficient number, since it is larger than the sum of its proper divisors (106523653).

221003667 is an frugal number, since it uses more digits than its factorization.

221003667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5731 (or 2864 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 221003667 is about 14866.1920813637. The cubic root of 221003667 is about 604.5977035458.

Multiplying 221003667 by its sum of digits (27), we get a square (5967099009 = 77247²).

221003667 divided by its sum of digits (27) gives a square (8185321 = 2861²).

Adding to 221003667 its reverse (766300122), we get a palindrome (987303789).

The spelling of 221003667 in words is "two hundred twenty-one million, three thousand, six hundred sixty-seven".