977000 has 32 divisors (see below), whose sum is σ = 2288520. Its totient is φ = 390400.

The previous prime is 976991. The next prime is 977021. The reversal of 977000 is 779.

977000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 538756 + 438244 = 734^2 + 662^2 .

It is a nialpdrome in base 10.

It is an unprimeable number.

977000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 512 + ... + 1488.

2⁹⁷⁷⁰⁰⁰ 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 977000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144260).

977000 is an abundant number, since it is smaller than the sum of its proper divisors (1311520).

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

977000 is a wasteful number, since it uses less digits than its factorization.

977000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 441, while the sum is 23.

The square root of 977000 is about 988.4331034521. The cubic root of 977000 is about 99.2273792792.

Adding to 977000 its reverse (779), we get a palindrome (977779).

The spelling of 977000 in words is "nine hundred seventy-seven thousand".