83172717 has 16 divisors (see below), whose sum is σ = 123744000. Its totient is φ = 55212192.

The previous prime is 83172703. The next prime is 83172767. The reversal of 83172717 is 71727138.

It is a happy number.

It is not a de Polignac number, because 83172717 - 2¹¹ = 83170669 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83172767) 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, 9 + ... + 12897.

It is an arithmetic number, because the mean of its divisors is an integer number (7734000).

Almost surely, 2^83172717 is an apocalyptic number.

It is an amenable number.

83172717 is a deficient number, since it is larger than the sum of its proper divisors (40571283).

83172717 is a wasteful number, since it uses less digits than its factorization.

83172717 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13137 (or 13131 counting only the distinct ones).

The product of its digits is 16464, while the sum is 36.

The square root of 83172717 is about 9119.9077297964. The cubic root of 83172717 is about 436.5094293023.

Adding to 83172717 its sum of digits (36), we get a triangular number (83172753 = T₁₂₈₉₇).

It can be divided in two parts, 831727 and 17, that added together give a square (831744 = 912²).

The spelling of 83172717 in words is "eighty-three million, one hundred seventy-two thousand, seven hundred seventeen".