971970 has 32 divisors (see below), whose sum is σ = 2358720. Its totient is φ = 256320.

The previous prime is 971959. The next prime is 971977. The reversal of 971970 is 79179.

971970 = T₁ + T₂ + ... + T₁₇₉.

971970 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

971970 is a nontrivial binomial coefficient, being equal to C(181, 3).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (971977) by changing a digit.

It is the 179-th tetrahedral number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5280 + ... + 5460.

It is an arithmetic number, because the mean of its divisors is an integer number (73710).

2⁹⁷¹⁹⁷⁰ is an apocalyptic number.

971970 is an abundant number, since it is smaller than the sum of its proper divisors (1386750).

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

971970 is a wasteful number, since it uses less digits than its factorization.

971970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370.

The product of its (nonzero) digits is 3969, while the sum is 33.

The square root of 971970 is about 985.8853888764. The cubic root of 971970 is about 99.0567983430.

The spelling of 971970 in words is "nine hundred seventy-one thousand, nine hundred seventy".