83709136 has 80 divisors (see below), whose sum is σ = 197209600. Its totient is φ = 33623424.

The previous prime is 83709127. The next prime is 83709137. The reversal of 83709136 is 63190738.

It is a junction number, because it is equal to n+sod(n) for n = 83709095 and 83709104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83709137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295651 + ... + 295933.

It is an arithmetic number, because the mean of its divisors is an integer number (2465120).

Almost surely, 2^83709136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83709136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98604800).

83709136 is an abundant number, since it is smaller than the sum of its proper divisors (113500464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83709136 is a wasteful number, since it uses less digits than its factorization.

83709136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 83709136 is about 9149.2696976316. The cubic root of 83709136 is about 437.4458355802.

It can be divided in two parts, 83709 and 136, that added together give a triangular number (83845 = T₄₀₉).

The spelling of 83709136 in words is "eighty-three million, seven hundred nine thousand, one hundred thirty-six".