971628 has 48 divisors (see below), whose sum is σ = 2661120. Its totient is φ = 270144.

The previous prime is 971591. The next prime is 971639. The reversal of 971628 is 826179.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 971628.

It is an unprimeable number.

971628 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 15 ways as a sum of consecutive naturals, for example, 3478 + ... + 3746.

It is an arithmetic number, because the mean of its divisors is an integer number (55440).

2⁹⁷¹⁶²⁸ 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 971628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330560).

971628 is an abundant number, since it is smaller than the sum of its proper divisors (1689492).

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

971628 is a wasteful number, since it uses less digits than its factorization.

971628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 324 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 971628 is about 985.7119254630. The cubic root of 971628 is about 99.0451788488.

The spelling of 971628 in words is "nine hundred seventy-one thousand, six hundred twenty-eight".