971028 has 54 divisors (see below), whose sum is σ = 2617706. Its totient is φ = 314928.

The previous prime is 971027. The next prime is 971029. The reversal of 971028 is 820179.

It is an interprime number because it is at equal distance from previous prime (971027) and next prime (971029).

It can be written as a sum of positive squares in only one way, i.e., 944784 + 26244 = 972^2 + 162^2 .

It is a tau number, because it is divible by the number of its divisors (54).

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

It is a junction number, because it is equal to n+sod(n) for n = 970992 and 971010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (971021) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26226 + ... + 26262.

2⁹⁷¹⁰²⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 971028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308853).

971028 is an abundant number, since it is smaller than the sum of its proper divisors (1646678).

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

971028 is an equidigital number, since it uses as much as digits as its factorization.

971028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 971028 is about 985.4075299083. The cubic root of 971028 is about 99.0247871818.

The spelling of 971028 in words is "nine hundred seventy-one thousand, twenty-eight".