971940 has 48 divisors (see below), whose sum is σ = 2765952. Its totient is φ = 254976.

The previous prime is 971939. The next prime is 971951. The reversal of 971940 is 49179.

971940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 971898 and 971907.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5737 + ... + 5903.

It is an arithmetic number, because the mean of its divisors is an integer number (57624).

2⁹⁷¹⁹⁴⁰ 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 971940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382976).

971940 is an abundant number, since it is smaller than the sum of its proper divisors (1794012).

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

971940 is a wasteful number, since it uses less digits than its factorization.

971940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 971940 is about 985.8701740087. The cubic root of 971940 is about 99.0557791982.

Subtracting from 971940 its reverse (49179), we obtain a triangular number (922761 = T₁₃₅₈).

The spelling of 971940 in words is "nine hundred seventy-one thousand, nine hundred forty".