971505 has 12 divisors (see below), whose sum is σ = 1684020. Its totient is φ = 518112.

The previous prime is 971501. The next prime is 971513. The reversal of 971505 is 505179.

It can be written as a sum of positive squares in 2 ways, for example, as 404496 + 567009 = 636^2 + 753^2 .

It is not a de Polignac number, because 971505 - 2² = 971501 is a prime.

It is not an unprimeable number, because it can be changed into a prime (971501) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10750 + ... + 10839.

It is an arithmetic number, because the mean of its divisors is an integer number (140335).

2⁹⁷¹⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

971505 is a deficient number, since it is larger than the sum of its proper divisors (712515).

971505 is a wasteful number, since it uses less digits than its factorization.

971505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21600 (or 21597 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 27.

The square root of 971505 is about 985.6495320346. The cubic root of 971505 is about 99.0409992413.

It can be divided in two parts, 9 and 71505, that multiplied together give a triangular number (643545 = T₁₁₃₄).

The spelling of 971505 in words is "nine hundred seventy-one thousand, five hundred five".