172887 has 24 divisors (see below), whose sum is σ = 281088. Its totient is φ = 93600.

The previous prime is 172883. The next prime is 172933. The reversal of 172887 is 788271.

It is not a de Polignac number, because 172887 - 2² = 172883 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

172887 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172883) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5562 + ... + 5592.

It is an arithmetic number, because the mean of its divisors is an integer number (11712).

2¹⁷²⁸⁸⁷ is an apocalyptic number.

172887 is a deficient number, since it is larger than the sum of its proper divisors (108201).

172887 is a wasteful number, since it uses less digits than its factorization.

172887 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 58 counting only the distinct ones).

The product of its digits is 6272, while the sum is 33.

The square root of 172887 is about 415.7968253847. The cubic root of 172887 is about 55.7084120792.

The spelling of 172887 in words is "one hundred seventy-two thousand, eight hundred eighty-seven".