977536 has 32 divisors (see below), whose sum is σ = 2227680. Its totient is φ = 418560.

The previous prime is 977521. The next prime is 977539. The reversal of 977536 is 635779.

It is a tau number, because it is divible by the number of its divisors (32).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 977495 and 977504.

It is not an unprimeable number, because it can be changed into a prime (977539) 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, 351 + ... + 1441.

It is an arithmetic number, because the mean of its divisors is an integer number (69615).

2⁹⁷⁷⁵³⁶ 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 977536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113840).

977536 is an abundant number, since it is smaller than the sum of its proper divisors (1250144).

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

977536 is a wasteful number, since it uses less digits than its factorization.

977536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1100 counting only the distinct ones).

The product of its digits is 39690, while the sum is 37.

The square root of 977536 is about 988.7042024792. The cubic root of 977536 is about 99.2455219445.

The spelling of 977536 in words is "nine hundred seventy-seven thousand, five hundred thirty-six".