172984 has 16 divisors (see below), whose sum is σ = 370800. Its totient is φ = 74112.

The previous prime is 172981. The next prime is 172987. The reversal of 172984 is 489271.

172984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (172981) and next prime (172987).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172981) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1489 + ... + 1600.

It is an arithmetic number, because the mean of its divisors is an integer number (23175).

2¹⁷²⁹⁸⁴ is an apocalyptic number.

172984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

172984 is an abundant number, since it is smaller than the sum of its proper divisors (197816).

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

172984 is a wasteful number, since it uses less digits than its factorization.

172984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3102 (or 3098 counting only the distinct ones).

The product of its digits is 4032, while the sum is 31.

The square root of 172984 is about 415.9134525355. The cubic root of 172984 is about 55.7188287207.

It can be divided in two parts, 172 and 984, that added together give a square (1156 = 34²).

The spelling of 172984 in words is "one hundred seventy-two thousand, nine hundred eighty-four".