83960569 has 45 divisors (see below), whose sum is σ = 114367631. Its totient is φ = 61575360.

The previous prime is 83960567. The next prime is 83960609. The reversal of 83960569 is 96506938.

The square root of 83960569 is 9163.

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., 65367225 + 18593344 = 8085^2 + 4312^2 .

It is not a de Polignac number, because 83960569 - 2¹ = 83960567 is a prime.

It is a super-2 number, since 2×83960569² = 14098754293607522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (83960561) 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 44 ways as a sum of consecutive naturals, for example, 4938849 + ... + 4938865.

Almost surely, 2^83960569 is an apocalyptic number.

83960569 is the 9163-rd square number.

83960569 is the 4582-nd centered octagonal number.

It is an amenable number.

83960569 is a deficient number, since it is larger than the sum of its proper divisors (30407062).

83960569 is an equidigital number, since it uses as much as digits as its factorization.

83960569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 46.

The cubic root of 83960569 is about 437.8833759542.

The spelling of 83960569 in words is "eighty-three million, nine hundred sixty thousand, five hundred sixty-nine".