971670 has 48 divisors (see below), whose sum is σ = 2716848. Its totient is φ = 221760.

The previous prime is 971653. The next prime is 971683. The reversal of 971670 is 76179.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

971670 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 23 ways as a sum of consecutive naturals, for example, 1140 + ... + 1800.

It is an arithmetic number, because the mean of its divisors is an integer number (56601).

2⁹⁷¹⁶⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 971670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358424).

971670 is an abundant number, since it is smaller than the sum of its proper divisors (1745178).

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

971670 is a wasteful number, since it uses less digits than its factorization.

971670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 678 counting only the distinct ones).

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

The square root of 971670 is about 985.7332296316. The cubic root of 971670 is about 99.0466059511.

The spelling of 971670 in words is "nine hundred seventy-one thousand, six hundred seventy".