973252809 has 9 divisors (see below), whose sum is σ = 1405944813. Its totient is φ = 648772812.

The previous prime is 973252807. The next prime is 973252817. The reversal of 973252809 is 908252379.

The square root of 973252809 is 31197.

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

973252809 is a `hidden beast` number, since 97 + 32 + 528 + 0 + 9 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 973252809 - 2¹ = 973252807 is a prime.

It is a super-3 number, since 3×973252809³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (973252807) 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, 88392 + ... + 98790.

Almost surely, 2^973252809 is an apocalyptic number.

973252809 is the 31197-th square number.

973252809 is the 15599-th centered octagonal number.

It is an amenable number.

973252809 is a deficient number, since it is larger than the sum of its proper divisors (432692004).

973252809 is an frugal number, since it uses more digits than its factorization.

973252809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20804 (or 10402 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The cubic root of 973252809 is about 991.0035767457.

The spelling of 973252809 in words is "nine hundred seventy-three million, two hundred fifty-two thousand, eight hundred nine".