83744 has 12 divisors (see below), whose sum is σ = 164934. Its totient is φ = 41856.

The previous prime is 83737. The next prime is 83761. The reversal of 83744 is 44738.

It can be written as a sum of positive squares in only one way, i.e., 48400 + 35344 = 220^2 + 188^2 .

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 9.

It is an unprimeable number.

83744 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1277 + ... + 1340.

2⁸³⁷⁴⁴ is an apocalyptic number.

It is an amenable number.

83744 is a deficient number, since it is larger than the sum of its proper divisors (81190).

83744 is a wasteful number, since it uses less digits than its factorization.

83744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2627 (or 2619 counting only the distinct ones).

The product of its digits is 2688, while the sum is 26.

The square root of 83744 is about 289.3855559630. The cubic root of 83744 is about 43.7506557725.

The spelling of 83744 in words is "eighty-three thousand, seven hundred forty-four".