172965 has 16 divisors (see below), whose sum is σ = 298368. Its totient is φ = 85056.

The previous prime is 172933. The next prime is 172969. The reversal of 172965 is 569271.

172965 = T₃₈ + T₃₉ + ... + T₁₀₂.

172965 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 172965 - 2⁵ = 172933 is a prime.

It is an Ulam number.

172965 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249 + ... + 638.

It is an arithmetic number, because the mean of its divisors is an integer number (18648).

2¹⁷²⁹⁶⁵ is an apocalyptic number.

172965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

172965 is a deficient number, since it is larger than the sum of its proper divisors (125403).

172965 is a wasteful number, since it uses less digits than its factorization.

172965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908.

The product of its digits is 3780, while the sum is 30.

The square root of 172965 is about 415.8906106177. The cubic root of 172965 is about 55.7167886543.

It can be divided in two parts, 17 and 2965, that multiplied together give a palindrome (50405).

The spelling of 172965 in words is "one hundred seventy-two thousand, nine hundred sixty-five".