83732 has 18 divisors (see below), whose sum is σ = 161994. Its totient is φ = 37840.

The previous prime is 83719. The next prime is 83737. The reversal of 83732 is 23738.

It can be written as a sum of positive squares in only one way, i.e., 81796 + 1936 = 286^2 + 44^2 .

It is a super-2 number, since 2×83732² = 14022095648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 83698 and 83707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 398 + ... + 570.

2⁸³⁷³² is an apocalyptic number.

It is an amenable number.

83732 is a deficient number, since it is larger than the sum of its proper divisors (78262).

83732 is a wasteful number, since it uses less digits than its factorization.

83732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 186 counting only the distinct ones).

The product of its digits is 1008, while the sum is 23.

The square root of 83732 is about 289.3648216352. The cubic root of 83732 is about 43.7485659394.

The spelling of 83732 in words is "eighty-three thousand, seven hundred thirty-two".