971936 has 24 divisors (see below), whose sum is σ = 2187360. Its totient is φ = 416448.

The previous prime is 971933. The next prime is 971939. The reversal of 971936 is 639179.

It is an interprime number because it is at equal distance from previous prime (971933) and next prime (971939).

It is a junction number, because it is equal to n+sod(n) for n = 971896 and 971905.

It is not an unprimeable number, because it can be changed into a prime (971933) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1946 + ... + 2393.

It is an arithmetic number, because the mean of its divisors is an integer number (91140).

2⁹⁷¹⁹³⁶ is an apocalyptic number.

It is an amenable number.

971936 is an abundant number, since it is smaller than the sum of its proper divisors (1215424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

971936 is a wasteful number, since it uses less digits than its factorization.

971936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4356 (or 4348 counting only the distinct ones).

The product of its digits is 10206, while the sum is 35.

The square root of 971936 is about 985.8681453420. The cubic root of 971936 is about 99.0556433106.

The spelling of 971936 in words is "nine hundred seventy-one thousand, nine hundred thirty-six".