971965 has 8 divisors (see below), whose sum is σ = 1171800. Its totient is φ = 773952.

The previous prime is 971959. The next prime is 971977. The reversal of 971965 is 569179.

It can be written as a sum of positive squares in 4 ways, for example, as 38809 + 933156 = 197^2 + 966^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 971965 - 2⁵ = 971933 is a prime.

It is a super-2 number, since 2×971965² = 1889431922450, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1467 + ... + 2023.

It is an arithmetic number, because the mean of its divisors is an integer number (146475).

2⁹⁷¹⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

971965 is a deficient number, since it is larger than the sum of its proper divisors (199835).

971965 is a wasteful number, since it uses less digits than its factorization.

971965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911.

The product of its digits is 17010, while the sum is 37.

The square root of 971965 is about 985.8828530814. The cubic root of 971965 is about 99.0566284870.

It can be divided in two parts, 971 and 965, that added together give a square (1936 = 44²).

The spelling of 971965 in words is "nine hundred seventy-one thousand, nine hundred sixty-five".