172963 has 4 divisors (see below), whose sum is σ = 197680. Its totient is φ = 148248.

The previous prime is 172933. The next prime is 172969. The reversal of 172963 is 369271.

172963 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 172963 - 2¹³ = 164771 is a prime.

It is an Ulam 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 3 ways as a sum of consecutive naturals, for example, 12348 + ... + 12361.

It is an arithmetic number, because the mean of its divisors is an integer number (49420).

2¹⁷²⁹⁶³ is an apocalyptic number.

172963 is a deficient number, since it is larger than the sum of its proper divisors (24717).

172963 is an equidigital number, since it uses as much as digits as its factorization.

172963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24716.

The product of its digits is 2268, while the sum is 28.

The square root of 172963 is about 415.8882061324. Note that the first 3 decimals coincide. The cubic root of 172963 is about 55.7165739018.

The spelling of 172963 in words is "one hundred seventy-two thousand, nine hundred sixty-three".