971958 has 32 divisors (see below), whose sum is σ = 2219616. Its totient is φ = 281088.

The previous prime is 971951. The next prime is 971959. The reversal of 971958 is 859179.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 971958.

It is not an unprimeable number, because it can be changed into a prime (971951) by changing a digit.

971958 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, 960 + ... + 1692.

It is an arithmetic number, because the mean of its divisors is an integer number (69363).

2⁹⁷¹⁹⁵⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 971958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109808).

971958 is an abundant number, since it is smaller than the sum of its proper divisors (1247658).

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

971958 is a wasteful number, since it uses less digits than its factorization.

971958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768.

The product of its digits is 22680, while the sum is 39.

The square root of 971958 is about 985.8793029575. The cubic root of 971958 is about 99.0563906876.

The spelling of 971958 in words is "nine hundred seventy-one thousand, nine hundred fifty-eight".