977256 has 72 divisors (see below), whose sum is σ = 3089970. Its totient is φ = 278208.

The previous prime is 977243. The next prime is 977257. The reversal of 977256 is 652779.

It can be written as a sum of positive squares in only one way, i.e., 933156 + 44100 = 966^2 + 210^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 977256.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 977256.

It is not an unprimeable number, because it can be changed into a prime (977257) by changing a digit.

977256 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 (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3390 + ... + 3666.

2⁹⁷⁷²⁵⁶ 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 977256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544985).

977256 is an abundant number, since it is smaller than the sum of its proper divisors (2112714).

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

977256 is a wasteful number, since it uses less digits than its factorization.

977256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 289 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 977256 is about 988.5625928589. The cubic root of 977256 is about 99.2360452604.

The spelling of 977256 in words is "nine hundred seventy-seven thousand, two hundred fifty-six".