971607 has 16 divisors (see below), whose sum is σ = 1594880. Its totient is φ = 512352.

The previous prime is 971591. The next prime is 971639. The reversal of 971607 is 706179.

It is not a de Polignac number, because 971607 - 2⁴ = 971591 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 971607.

It is not an unprimeable number, because it can be changed into a prime (971207) 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 15 ways as a sum of consecutive naturals, for example, 1507 + ... + 2052.

It is an arithmetic number, because the mean of its divisors is an integer number (99680).

2⁹⁷¹⁶⁰⁷ is an apocalyptic number.

971607 is a deficient number, since it is larger than the sum of its proper divisors (623273).

971607 is a wasteful number, since it uses less digits than its factorization.

971607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3582.

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 971607 is about 985.7012732060. The cubic root of 971607 is about 99.0444652823.

The spelling of 971607 in words is "nine hundred seventy-one thousand, six hundred seven".