73083174921 has 27 divisors (see below), whose sum is σ = 106779039861. Its totient is φ = 48167921664.

The previous prime is 73083174919. The next prime is 73083174971. The reversal of 73083174921 is 12947138037.

The square root of 73083174921 is 270339.

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

73083174921 is a `hidden beast` number, since 7 + 308 + 317 + 4 + 9 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30124809225 + 42958365696 = 173565^2 + 207264^2 .

It is not a de Polignac number, because 73083174921 - 2¹ = 73083174919 is a prime.

It is not an unprimeable number, because it can be changed into a prime (73083174971) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 78668185 + ... + 78669113.

Almost surely, 2^73083174921 is an apocalyptic number.

73083174921 is the 270339-th square number.

73083174921 is the 135170-th centered octagonal number.

It is an amenable number.

73083174921 is a deficient number, since it is larger than the sum of its proper divisors (33695864940).

73083174921 is an frugal number, since it uses more digits than its factorization.

73083174921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

It can be divided in two parts, 73083 and 174921, that added together give a square (248004 = 498²).

The spelling of 73083174921 in words is "seventy-three billion, eighty-three million, one hundred seventy-four thousand, nine hundred twenty-one".