221361147 has 32 divisors (see below), whose sum is σ = 387724800. Its totient is φ = 122127264.

The previous prime is 221361113. The next prime is 221361163. The reversal of 221361147 is 741163122.

221361147 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 611 + 47 = 666.

It is not a de Polignac number, because 221361147 - 2²² = 217166843 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 221361147.

It is not an unprimeable number, because it can be changed into a prime (221361187) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14713 + ... + 25674.

It is an arithmetic number, because the mean of its divisors is an integer number (12116400).

Almost surely, 2^221361147 is an apocalyptic number.

221361147 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

221361147 is a deficient number, since it is larger than the sum of its proper divisors (166363653).

221361147 is a wasteful number, since it uses less digits than its factorization.

221361147 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40432 (or 40426 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 221361147 is about 14878.2104770702. The cubic root of 221361147 is about 604.9235128586.

The spelling of 221361147 in words is "two hundred twenty-one million, three hundred sixty-one thousand, one hundred forty-seven".