971740 has 48 divisors (see below), whose sum is σ = 2548224. Its totient is φ = 302400.

The previous prime is 971723. The next prime is 971753. The reversal of 971740 is 47179.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 971699 and 971708.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1225 + ... + 1855.

It is an arithmetic number, because the mean of its divisors is an integer number (53088).

2⁹⁷¹⁷⁴⁰ 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 971740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274112).

971740 is an abundant number, since it is smaller than the sum of its proper divisors (1576484).

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

971740 is a wasteful number, since it uses less digits than its factorization.

971740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 28.

The square root of 971740 is about 985.7687355562. The cubic root of 971740 is about 99.0489843635.

It can be divided in two parts, 971 and 740, that added together give a triangular number (1711 = T₅₈).

The spelling of 971740 in words is "nine hundred seventy-one thousand, seven hundred forty".