83946132 has 60 divisors (see below), whose sum is σ = 221558260. Its totient is φ = 27713664.

The previous prime is 83946091. The next prime is 83946151. The reversal of 83946132 is 23164938.

83946132 is a `hidden beast` number, since 8 + 39 + 4 + 613 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46049796 + 37896336 = 6786^2 + 6156^2 .

It is a super-2 number, since 2×83946132² = 14093906155522848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34128 + ... + 36504.

Almost surely, 2^83946132 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 83946132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110779130).

83946132 is an abundant number, since it is smaller than the sum of its proper divisors (137612128).

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

83946132 is a wasteful number, since it uses less digits than its factorization.

83946132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2502 (or 2491 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 83946132 is about 9162.2121782897. The cubic root of 83946132 is about 437.8582765345.

It can be divided in two parts, 839 and 46132, that added together give a triangular number (46971 = T₃₀₆).

The spelling of 83946132 in words is "eighty-three million, nine hundred forty-six thousand, one hundred thirty-two".