73982569 has 8 divisors (see below), whose sum is σ = 75867912. Its totient is φ = 72119040.

The previous prime is 73982549. The next prime is 73982627. The reversal of 73982569 is 96528937.

It can be written as a sum of positive squares in 4 ways, for example, as 16040025 + 57942544 = 4005^2 + 7612^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 73982569 - 2⁵ = 73982537 is a prime.

It is a super-3 number, since 3×73982569³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73982549) 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, 1527 + ... + 12259.

It is an arithmetic number, because the mean of its divisors is an integer number (9483489).

Almost surely, 2^73982569 is an apocalyptic number.

It is an amenable number.

73982569 is a deficient number, since it is larger than the sum of its proper divisors (1885343).

73982569 is a wasteful number, since it uses less digits than its factorization.

73982569 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10907.

The product of its digits is 816480, while the sum is 49.

The square root of 73982569 is about 8601.3120510769. The cubic root of 73982569 is about 419.8006782865.

The spelling of 73982569 in words is "seventy-three million, nine hundred eighty-two thousand, five hundred sixty-nine".