172084 has 12 divisors (see below), whose sum is σ = 328608. Its totient is φ = 78200.

The previous prime is 172079. The next prime is 172093. The reversal of 172084 is 480271.

It is a super-2 number, since 2×172084² = 59225806112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 172084.

It is an unprimeable number.

172084 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1912 + ... + 1999.

It is an arithmetic number, because the mean of its divisors is an integer number (27384).

2¹⁷²⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

172084 is a deficient number, since it is larger than the sum of its proper divisors (156524).

172084 is a wasteful number, since it uses less digits than its factorization.

172084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3926 (or 3924 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 172084 is about 414.8300856977. The cubic root of 172084 is about 55.6220294673.

The spelling of 172084 in words is "one hundred seventy-two thousand, eighty-four".