83738 has 8 divisors (see below), whose sum is σ = 126900. Its totient is φ = 41440.

The previous prime is 83737. The next prime is 83761.

83738 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 82369 + 1369 = 287^2 + 37^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a self number, because there is not a number n which added to its sum of digits gives 83738.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 158 + ... + 438.

2⁸³⁷³⁸ is an apocalyptic number.

83738 is a deficient number, since it is larger than the sum of its proper divisors (43162).

83738 is a wasteful number, since it uses less digits than its factorization.

83738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432.

The product of its digits is 4032, while the sum is 29.

The square root of 83738 is about 289.3751889848. The cubic root of 83738 is about 43.7496108809.

The spelling of 83738 in words is "eighty-three thousand, seven hundred thirty-eight".