171007 has 2 divisors, whose sum is σ = 171008. Its totient is φ = 171006.

The previous prime is 170971. The next prime is 171023. The reversal of 171007 is 700171.

It is a happy number.

It is an a-pointer prime, because the next prime (171023) can be obtained adding 171007 to its sum of digits (16).

It is a strong prime.

It is an emirp because it is prime and its reverse (700171) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 171007 - 2¹⁵ = 138239 is a prime.

171007 is a lucky number.

It is a plaindrome in base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (171047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 85503 + 85504.

It is an arithmetic number, because the mean of its divisors is an integer number (85504).

2¹⁷¹⁰⁰⁷ is an apocalyptic number.

171007 is a deficient number, since it is larger than the sum of its proper divisors (1).

171007 is an equidigital number, since it uses as much as digits as its factorization.

171007 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 49, while the sum is 16.

The square root of 171007 is about 413.5299263657. The cubic root of 171007 is about 55.5057483968.

Adding to 171007 its reverse (700171), we get a palindrome (871178).

It can be divided in two parts, 17 and 1007, that added together give a 10-th power (1024 = 2¹⁰).

The spelling of 171007 in words is "one hundred seventy-one thousand, seven", and thus it is an iban number.