971665 has 8 divisors (see below), whose sum is σ = 1171368. Its totient is φ = 773760.

The previous prime is 971653. The next prime is 971683. The reversal of 971665 is 566179.

It can be written as a sum of positive squares in 4 ways, for example, as 51984 + 919681 = 228^2 + 959^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 971665 - 2⁹ = 971153 is a prime.

It is a Duffinian number.

971665 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 971665.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1605 + ... + 2125.

It is an arithmetic number, because the mean of its divisors is an integer number (146421).

2⁹⁷¹⁶⁶⁵ is an apocalyptic number.

It is an amenable number.

971665 is a deficient number, since it is larger than the sum of its proper divisors (199703).

971665 is a wasteful number, since it uses less digits than its factorization.

971665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899.

The product of its digits is 11340, while the sum is 34.

The square root of 971665 is about 985.7306934452. The cubic root of 971665 is about 99.0464360601.

The spelling of 971665 in words is "nine hundred seventy-one thousand, six hundred sixty-five".