172817316 has 81 divisors (see below), whose sum is σ = 509793921. Its totient is φ = 49218624.

The previous prime is 172817311. The next prime is 172817339. The reversal of 172817316 is 613718271.

The square root of 172817316 is 13146.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1102500 + 171714816 = 1050^2 + 13104^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (172817311) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 551976 + ... + 552288.

Almost surely, 2^172817316 is an apocalyptic number.

172817316 is the 13146-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172817316

172817316 is an abundant number, since it is smaller than the sum of its proper divisors (336976605).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

172817316 is a wasteful number, since it uses less digits than its factorization.

172817316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 325 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The cubic root of 172817316 is about 557.0092644473.

Multiplying 172817316 by its sum of digits (36), we get a square (6221423376 = 78876²).

172817316 divided by its sum of digits (36) gives a square (4800481 = 2191²).

It can be divided in two parts, 1728 and 17316, that added together give a square (19044 = 138²).

The spelling of 172817316 in words is "one hundred seventy-two million, eight hundred seventeen thousand, three hundred sixteen".