83135409 has 48 divisors (see below), whose sum is σ = 136931328. Its totient is φ = 44640288.

The previous prime is 83135407. The next prime is 83135417. The reversal of 83135409 is 90453138.

It is not a de Polignac number, because 83135409 - 2¹ = 83135407 is a prime.

It is a super-2 number, since 2×83135409² = 13822992459194562, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 83135409.

It is not an unprimeable number, because it can be changed into a prime (83135401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 226344 + ... + 226710.

It is an arithmetic number, because the mean of its divisors is an integer number (2852736).

Almost surely, 2^83135409 is an apocalyptic number.

It is an amenable number.

83135409 is a deficient number, since it is larger than the sum of its proper divisors (53795919).

83135409 is a wasteful number, since it uses less digits than its factorization.

83135409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 83135409 is about 9117.8620849407. The cubic root of 83135409 is about 436.4441525707. Note that the first 3 decimals are identical.

The spelling of 83135409 in words is "eighty-three million, one hundred thirty-five thousand, four hundred nine".