971601 has 8 divisors (see below), whose sum is σ = 1371744. Its totient is φ = 609600.

The previous prime is 971591. The next prime is 971639. The reversal of 971601 is 106179.

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

It is not a de Polignac number, because 971601 - 2⁵ = 971569 is a prime.

971601 is a lucky 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9475 + ... + 9576.

It is an arithmetic number, because the mean of its divisors is an integer number (171468).

2⁹⁷¹⁶⁰¹ is an apocalyptic number.

It is an amenable number.

971601 is a deficient number, since it is larger than the sum of its proper divisors (400143).

971601 is a wasteful number, since it uses less digits than its factorization.

971601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19071.

The product of its (nonzero) digits is 378, while the sum is 24.

The square root of 971601 is about 985.6982296829. The cubic root of 971601 is about 99.0442614042.

The spelling of 971601 in words is "nine hundred seventy-one thousand, six hundred one".