977564 has 12 divisors (see below), whose sum is σ = 1955184. Its totient is φ = 418944.

The previous prime is 977539. The next prime is 977567. The reversal of 977564 is 465779.

977564 is an admirable number.

It is an Ulam number.

It is a d-powerful number, because it can be written as 9⁵ + 7⁵ + 5⁷ + 7⁷ + 6² + 4 .

It is a plaindrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 977564.

It is not an unprimeable number, because it can be changed into a prime (977567) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17429 + ... + 17484.

It is an arithmetic number, because the mean of its divisors is an integer number (162932).

2⁹⁷⁷⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

977564 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

977564 is a wasteful number, since it uses less digits than its factorization.

977564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34924 (or 34922 counting only the distinct ones).

The product of its digits is 52920, while the sum is 38.

The square root of 977564 is about 988.7183623257. The cubic root of 977564 is about 99.2464695134.

The spelling of 977564 in words is "nine hundred seventy-seven thousand, five hundred sixty-four".