977364 has 36 divisors (see below), whose sum is σ = 2617524. Its totient is φ = 306432.

The previous prime is 977363. The next prime is 977369. The reversal of 977364 is 463779.

It can be written as a sum of positive squares in 2 ways, for example, as 476100 + 501264 = 690^2 + 708^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

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 977364.

It is not an unprimeable number, because it can be changed into a prime (977363) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 187 + ... + 1410.

It is an arithmetic number, because the mean of its divisors is an integer number (72709).

2⁹⁷⁷³⁶⁴ 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 977364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308762).

977364 is an abundant number, since it is smaller than the sum of its proper divisors (1640160).

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

977364 is a wasteful number, since it uses less digits than its factorization.

977364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624 (or 1619 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 977364 is about 988.6172161155. The cubic root of 977364 is about 99.2397007673.

The spelling of 977364 in words is "nine hundred seventy-seven thousand, three hundred sixty-four".