973377601 has 9 divisors (see below), whose sum is σ = 1132550499. Its totient is φ = 834136464.

The previous prime is 973377599. The next prime is 973377607. The reversal of 973377601 is 106773379.

The square root of 973377601 is 31199.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 683561025 + 289816576 = 26145^2 + 17024^2 .

It is not a de Polignac number, because 973377601 - 2¹ = 973377599 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (973377607) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 216165 + ... + 220621.

Almost surely, 2^973377601 is an apocalyptic number.

973377601 is the 31199-th square number.

973377601 is the 15600-th centered octagonal number.

It is an amenable number.

973377601 is a deficient number, since it is larger than the sum of its proper divisors (159172898).

973377601 is an frugal number, since it uses more digits than its factorization.

973377601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8928 (or 4464 counting only the distinct ones).

The product of its (nonzero) digits is 166698, while the sum is 43.

The cubic root of 973377601 is about 991.0459309459.

The spelling of 973377601 in words is "nine hundred seventy-three million, three hundred seventy-seven thousand, six hundred one".