971657 has 4 divisors (see below), whose sum is σ = 997956. Its totient is φ = 945360.

The previous prime is 971653. The next prime is 971683. The reversal of 971657 is 756179.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 364816 + 606841 = 604^2 + 779^2 .

It is a cyclic number.

It is not a de Polignac number, because 971657 - 2² = 971653 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 971657.

It is not an unprimeable number, because it can be changed into a prime (971651) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 13094 + ... + 13167.

It is an arithmetic number, because the mean of its divisors is an integer number (249489).

2⁹⁷¹⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

971657 is a deficient number, since it is larger than the sum of its proper divisors (26299).

971657 is a wasteful number, since it uses less digits than its factorization.

971657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26298.

The product of its digits is 13230, while the sum is 35.

The square root of 971657 is about 985.7266355334. The cubic root of 971657 is about 99.0461642334.

The spelling of 971657 in words is "nine hundred seventy-one thousand, six hundred fifty-seven".