172828271 has 32 divisors (see below), whose sum is σ = 221377536. Its totient is φ = 131040000.

The previous prime is 172828261. The next prime is 172828277.

172828271 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 172828271 - 2¹⁰ = 172827247 is a prime.

It is a super-2 number, since 2×172828271² = 59739222513698882, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172828277) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 552011 + ... + 552323.

It is an arithmetic number, because the mean of its divisors is an integer number (6918048).

Almost surely, 2^172828271 is an apocalyptic number.

172828271 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

172828271 is a deficient number, since it is larger than the sum of its proper divisors (48549265).

172828271 is a wasteful number, since it uses less digits than its factorization.

172828271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503.

The product of its digits is 25088, while the sum is 38.

The square root of 172828271 is about 13146.4166600637. The cubic root of 172828271 is about 557.0210339230.

The spelling of 172828271 in words is "one hundred seventy-two million, eight hundred twenty-eight thousand, two hundred seventy-one".