221281007 has 16 divisors (see below), whose sum is σ = 232377600. Its totient is φ = 210470400.

The previous prime is 221280971. The next prime is 221281019. The reversal of 221281007 is 700182122.

It is a cyclic number.

It is not a de Polignac number, because 221281007 - 2¹⁰ = 221279983 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221281057) 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 15 ways as a sum of consecutive naturals, for example, 633869 + ... + 634217.

It is an arithmetic number, because the mean of its divisors is an integer number (14523600).

Almost surely, 2^221281007 is an apocalyptic number.

221281007 is a deficient number, since it is larger than the sum of its proper divisors (11096593).

221281007 is a wasteful number, since it uses less digits than its factorization.

221281007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674.

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 221281007 is about 14875.5170330312. The cubic root of 221281007 is about 604.8505033258.

The spelling of 221281007 in words is "two hundred twenty-one million, two hundred eighty-one thousand, seven".