971761 has 8 divisors (see below), whose sum is σ = 1149120. Its totient is φ = 804048.

The previous prime is 971759. The next prime is 971767. The reversal of 971761 is 167179.

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

It is not a de Polignac number, because 971761 - 2¹ = 971759 is a prime.

It is a super-2 number, since 2×971761² = 1888638882242, which contains 22 as substring.

971761 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (971767) by changing a digit.

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, 2191 + ... + 2596.

It is an arithmetic number, because the mean of its divisors is an integer number (143640).

2⁹⁷¹⁷⁶¹ is an apocalyptic number.

It is an amenable number.

971761 is a deficient number, since it is larger than the sum of its proper divisors (177359).

971761 is a wasteful number, since it uses less digits than its factorization.

971761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4823.

The product of its digits is 2646, while the sum is 31.

The square root of 971761 is about 985.7793870841. The cubic root of 971761 is about 99.0496978650.

The spelling of 971761 in words is "nine hundred seventy-one thousand, seven hundred sixty-one".