1721281632 has 48 divisors (see below), whose sum is σ = 5163846912. Its totient is φ = 491794560.

The previous prime is 1721281577. The next prime is 1721281633. The reversal of 1721281632 is 2361821271.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1721281593 and 1721281602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1721281633) 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 7 ways as a sum of consecutive naturals, for example, 1280044 + ... + 1281387.

It is an arithmetic number, because the mean of its divisors is an integer number (107580144).

Almost surely, 2^1721281632 is an apocalyptic number.

1721281632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1721281632 is an abundant number, since it is smaller than the sum of its proper divisors (3442565280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1721281632 is a wasteful number, since it uses less digits than its factorization.

1721281632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2561451 (or 2561443 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 1721281632 is about 41488.3312751911. The cubic root of 1721281632 is about 1198.4428023759.

The spelling of 1721281632 in words is "one billion, seven hundred twenty-one million, two hundred eighty-one thousand, six hundred thirty-two".