971465 has 16 divisors (see below), whose sum is σ = 1347840. Its totient is φ = 664320.

The previous prime is 971441. The next prime is 971473. The reversal of 971465 is 564179.

971465 = 231² + 232² + ... + 247².

It is a happy number.

It is not a de Polignac number, because 971465 - 2⁶ = 971401 is a prime.

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 15 ways as a sum of consecutive naturals, for example, 416 + ... + 1454.

It is an arithmetic number, because the mean of its divisors is an integer number (84240).

2⁹⁷¹⁴⁶⁵ is an apocalyptic number.

It is an amenable number.

971465 is a deficient number, since it is larger than the sum of its proper divisors (376375).

971465 is a wasteful number, since it uses less digits than its factorization.

971465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072.

The product of its digits is 7560, while the sum is 32.

The square root of 971465 is about 985.6292406377. The cubic root of 971465 is about 99.0396399433.

It can be divided in two parts, 9714 and 65, that added together give a palindrome (9779).

The spelling of 971465 in words is "nine hundred seventy-one thousand, four hundred sixty-five".