977538 has 16 divisors (see below), whose sum is σ = 1967616. Its totient is φ = 323760.

The previous prime is 977521. The next prime is 977539. The reversal of 977538 is 835779.

977538 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 977496 and 977505.

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 7 ways as a sum of consecutive naturals, for example, 720 + ... + 1572.

It is an arithmetic number, because the mean of its divisors is an integer number (122976).

2⁹⁷⁷⁵³⁸ is an apocalyptic number.

977538 is an abundant number, since it is smaller than the sum of its proper divisors (990078).

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

977538 is a wasteful number, since it uses less digits than its factorization.

977538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049.

The product of its digits is 52920, while the sum is 39.

The square root of 977538 is about 988.7052139035. The cubic root of 977538 is about 99.2455896286.

The spelling of 977538 in words is "nine hundred seventy-seven thousand, five hundred thirty-eight".