970820964 has 63 divisors (see below), whose sum is σ = 2551662057. Its totient is φ = 323046144.

The previous prime is 970820923. The next prime is 970820969. The reversal of 970820964 is 469028079.

It is a happy number.

The square root of 970820964 is 31158.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 964102500 + 6718464 = 31050^2 + 2592^2 .

It is not an unprimeable number, because it can be changed into a prime (970820969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1682244 + ... + 1682820.

Almost surely, 2^970820964 is an apocalyptic number.

970820964 is the 31158-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 970820964

970820964 is an abundant number, since it is smaller than the sum of its proper divisors (1580841093).

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

970820964 is an frugal number, since it uses more digits than its factorization.

970820964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The cubic root of 970820964 is about 990.1774888388.

The spelling of 970820964 in words is "nine hundred seventy million, eight hundred twenty thousand, nine hundred sixty-four".