172319517 has 24 divisors (see below), whose sum is σ = 252509400. Its totient is φ = 113228928.

The previous prime is 172319513. The next prime is 172319527. The reversal of 172319517 is 715913271.

It can be written as a sum of positive squares in 4 ways, for example, as 1390041 + 170929476 = 1179^2 + 13074^2 .

It is not a de Polignac number, because 172319517 - 2² = 172319513 is a prime.

It is a super-2 number, since 2×172319517² = 59388031878226578, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172319513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 263563 + ... + 264215.

It is an arithmetic number, because the mean of its divisors is an integer number (10521225).

Almost surely, 2^172319517 is an apocalyptic number.

It is an amenable number.

172319517 is a deficient number, since it is larger than the sum of its proper divisors (80189883).

172319517 is a wasteful number, since it uses less digits than its factorization.

172319517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1034 counting only the distinct ones).

The product of its digits is 13230, while the sum is 36.

The square root of 172319517 is about 13127.0528680279. The cubic root of 172319517 is about 556.4739297537.

The spelling of 172319517 in words is "one hundred seventy-two million, three hundred nineteen thousand, five hundred seventeen".