83945736 has 96 divisors (see below), whose sum is σ = 261480960. Its totient is φ = 23832576.

The previous prime is 83945683. The next prime is 83945747. The reversal of 83945736 is 63754938.

It is a junction number, because it is equal to n+sod(n) for n = 83945691 and 83945700.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96841 + ... + 97703.

It is an arithmetic number, because the mean of its divisors is an integer number (2723760).

Almost surely, 2^83945736 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 83945736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130740480).

83945736 is an abundant number, since it is smaller than the sum of its proper divisors (177535224).

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

83945736 is a wasteful number, since it uses less digits than its factorization.

83945736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1068 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 83945736 is about 9162.1905677627. The cubic root of 83945736 is about 437.8575880289.

It can be divided in two parts, 83945 and 736, that added together give a square (84681 = 291²).

The spelling of 83945736 in words is "eighty-three million, nine hundred forty-five thousand, seven hundred thirty-six".