172315 has 16 divisors (see below), whose sum is σ = 243936. Its totient is φ = 115200.

The previous prime is 172313. The next prime is 172321. The reversal of 172315 is 513271.

172315 = T₁₁₄ + T₁₁₅ + ... + T₁₃₅.

It is not a de Polignac number, because 172315 - 2¹ = 172313 is a prime.

It is an Ulam number.

172315 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 172292 and 172301.

It is not an unprimeable number, because it can be changed into a prime (172313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 595 + ... + 835.

It is an arithmetic number, because the mean of its divisors is an integer number (15246).

2¹⁷²³¹⁵ is an apocalyptic number.

172315 is a deficient number, since it is larger than the sum of its proper divisors (71621).

172315 is a wasteful number, since it uses less digits than its factorization.

172315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270.

The product of its digits is 210, while the sum is 19.

The square root of 172315 is about 415.1084195725. The cubic root of 172315 is about 55.6469067440.

Adding to 172315 its reverse (513271), we get a palindrome (685586).

It can be divided in two parts, 17 and 2315, that added together give a palindrome (2332).

The spelling of 172315 in words is "one hundred seventy-two thousand, three hundred fifteen".