977541 has 8 divisors (see below), whose sum is σ = 1308000. Its totient is φ = 649392.

The previous prime is 977539. The next prime is 977567. The reversal of 977541 is 145779.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 977541 - 2¹ = 977539 is a prime.

It is a d-powerful number, because it can be written as 9⁵ + 7⁵ + 5⁷ + 7⁷ + 4² + 1 .

977541 is a lucky number.

It is a nialpdrome in base 10 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (977521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1171 + ... + 1823.

It is an arithmetic number, because the mean of its divisors is an integer number (163500).

2⁹⁷⁷⁵⁴¹ is an apocalyptic number.

It is an amenable number.

977541 is a deficient number, since it is larger than the sum of its proper divisors (330459).

977541 is a wasteful number, since it uses less digits than its factorization.

977541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155.

The product of its digits is 8820, while the sum is 33.

The square root of 977541 is about 988.7067310381. The cubic root of 977541 is about 99.2456911546.

The spelling of 977541 in words is "nine hundred seventy-seven thousand, five hundred forty-one".