172516961 has 8 divisors (see below), whose sum is σ = 178001280. Its totient is φ = 167115312.

The previous prime is 172516943. The next prime is 172516973. The reversal of 172516961 is 169615271.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 172516961 - 2²⁶ = 105408097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (172516991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16415 + ... + 24788.

It is an arithmetic number, because the mean of its divisors is an integer number (22250160).

Almost surely, 2^172516961 is an apocalyptic number.

It is an amenable number.

172516961 is a deficient number, since it is larger than the sum of its proper divisors (5484319).

172516961 is an equidigital number, since it uses as much as digits as its factorization.

172516961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41335.

The product of its digits is 22680, while the sum is 38.

The square root of 172516961 is about 13134.5712149274. The cubic root of 172516961 is about 556.6863848936.

The spelling of 172516961 in words is "one hundred seventy-two million, five hundred sixteen thousand, nine hundred sixty-one".