171007929 has 15 divisors (see below), whose sum is σ = 255632223. Its totient is φ = 113926824.

The previous prime is 171007909. The next prime is 171007933. The reversal of 171007929 is 929700171.

The square root of 171007929 is 13077.

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., 166797225 + 4210704 = 12915^2 + 2052^2 .

It is not a de Polignac number, because 171007929 - 2⁵ = 171007897 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 171007893 and 171007902.

It is not an unprimeable number, because it can be changed into a prime (171007909) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 116967 + ... + 118419.

Almost surely, 2^171007929 is an apocalyptic number.

171007929 is the 13077-th square number.

171007929 is the 6539-th centered octagonal number.

It is an amenable number.

171007929 is a deficient number, since it is larger than the sum of its proper divisors (84624294).

171007929 is an frugal number, since it uses more digits than its factorization.

171007929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 36.

The cubic root of 171007929 is about 555.0584890879.

Multiplying 171007929 by its sum of digits (36), we get a square (6156285444 = 78462²).

The spelling of 171007929 in words is "one hundred seventy-one million, seven thousand, nine hundred twenty-nine".