971641 has 8 divisors (see below), whose sum is σ = 1116000. Its totient is φ = 836640.

The previous prime is 971639. The next prime is 971651. The reversal of 971641 is 146179.

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 971641 - 2¹ = 971639 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

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 (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2116 + ... + 2533.

It is an arithmetic number, because the mean of its divisors is an integer number (139500).

2⁹⁷¹⁶⁴¹ is an apocalyptic number.

It is an amenable number.

971641 is a deficient number, since it is larger than the sum of its proper divisors (144359).

971641 is a wasteful number, since it uses less digits than its factorization.

971641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4679.

The product of its digits is 1512, while the sum is 28.

The square root of 971641 is about 985.7185196596. The cubic root of 971641 is about 99.0456205754.

The spelling of 971641 in words is "nine hundred seventy-one thousand, six hundred forty-one".