972776 has 32 divisors (see below), whose sum is σ = 2160000. Its totient is φ = 401856.

The previous prime is 972721. The next prime is 972787. The reversal of 972776 is 677279.

It is a d-powerful number, because it can be written as 9 + 7² + 7⁵ + 2¹⁷ + 7⁷ + 6⁴ .

It is an unprimeable number.

972776 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 1325 + ... + 1923.

It is an arithmetic number, because the mean of its divisors is an integer number (67500).

2⁹⁷²⁷⁷⁶ 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 972776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080000).

972776 is an abundant number, since it is smaller than the sum of its proper divisors (1187224).

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

972776 is a wasteful number, since it uses less digits than its factorization.

972776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 637 counting only the distinct ones).

The product of its digits is 37044, while the sum is 38.

The square root of 972776 is about 986.2940737934. The cubic root of 972776 is about 99.0841715201.

The spelling of 972776 in words is "nine hundred seventy-two thousand, seven hundred seventy-six".