172827984 has 160 divisors (see below), whose sum is σ = 548536320. Its totient is φ = 45766656.

The previous prime is 172827979. The next prime is 172827989. The reversal of 172827984 is 489728271.

It is an interprime number because it is at equal distance from previous prime (172827979) and next prime (172827989).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172827989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 451057 + ... + 451439.

It is an arithmetic number, because the mean of its divisors is an integer number (3428352).

Almost surely, 2^172827984 is an apocalyptic number.

172827984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172827984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274268160).

172827984 is an abundant number, since it is smaller than the sum of its proper divisors (375708336).

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

172827984 is a wasteful number, since it uses less digits than its factorization.

172827984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 491 counting only the distinct ones).

The product of its digits is 451584, while the sum is 48.

The square root of 172827984 is about 13146.4057445372. The cubic root of 172827984 is about 557.0207255916.

The spelling of 172827984 in words is "one hundred seventy-two million, eight hundred twenty-seven thousand, nine hundred eighty-four".