83777409 has 27 divisors (see below), whose sum is σ = 126781603. Its totient is φ = 55357344.

The previous prime is 83777401. The next prime is 83777413. The reversal of 83777409 is 90477738.

The square root of 83777409 is 9153.

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., 1476225 + 82301184 = 1215^2 + 9072^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 83777409 - 2³ = 83777401 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (83777401) 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, 741337 + ... + 741449.

Almost surely, 2^83777409 is an apocalyptic number.

83777409 is the 9153-rd square number.

83777409 is the 4577-th centered octagonal number.

It is an amenable number.

83777409 is a deficient number, since it is larger than the sum of its proper divisors (43004194).

83777409 is an frugal number, since it uses more digits than its factorization.

83777409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The cubic root of 83777409 is about 437.5647299055.

The spelling of 83777409 in words is "eighty-three million, seven hundred seventy-seven thousand, four hundred nine".