971136 has 64 divisors (see below), whose sum is σ = 2876400. Its totient is φ = 322560.

The previous prime is 971111. The next prime is 971141. The reversal of 971136 is 631179.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

971136 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3316 + ... + 3596.

2⁹⁷¹¹³⁶ is an apocalyptic number.

971136 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 971136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438200).

971136 is an abundant number, since it is smaller than the sum of its proper divisors (1905264).

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

971136 is a wasteful number, since it uses less digits than its factorization.

971136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 286 counting only the distinct ones).

The product of its digits is 1134, while the sum is 27.

The square root of 971136 is about 985.4623280471. The cubic root of 971136 is about 99.0284583017.

The spelling of 971136 in words is "nine hundred seventy-one thousand, one hundred thirty-six".