172953 has 12 divisors (see below), whose sum is σ = 272688. Its totient is φ = 104760.

The previous prime is 172933. The next prime is 172969. The reversal of 172953 is 359271.

172953 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 172953 - 2⁹ = 172441 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (172933) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 775 + ... + 972.

It is an arithmetic number, because the mean of its divisors is an integer number (22724).

2¹⁷²⁹⁵³ is an apocalyptic number.

It is an amenable number.

172953 is a deficient number, since it is larger than the sum of its proper divisors (99735).

172953 is a wasteful number, since it uses less digits than its factorization.

172953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1761 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 172953 is about 415.8761834970. The cubic root of 172953 is about 55.7155001144.

The spelling of 172953 in words is "one hundred seventy-two thousand, nine hundred fifty-three".