1684057221 has 48 divisors (see below), whose sum is σ = 3074398080. Its totient is φ = 862824960.

The previous prime is 1684057189. The next prime is 1684057259. The reversal of 1684057221 is 1227504861.

1684057221 is a `hidden beast` number, since 1 + 6 + 84 + 0 + 572 + 2 + 1 = 666.

It is not a de Polignac number, because 1684057221 - 2⁵ = 1684057189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1684057321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33945 + ... + 67233.

It is an arithmetic number, because the mean of its divisors is an integer number (64049960).

Almost surely, 2^1684057221 is an apocalyptic number.

1684057221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1684057221 is a deficient number, since it is larger than the sum of its proper divisors (1390340859).

1684057221 is a wasteful number, since it uses less digits than its factorization.

1684057221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33386 (or 33383 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1684057221 is about 41037.2662466690. The cubic root of 1684057221 is about 1189.7405976022.

The spelling of 1684057221 in words is "one billion, six hundred eighty-four million, fifty-seven thousand, two hundred twenty-one".