90738 has 18 divisors (see below), whose sum is σ = 199407. Its totient is φ = 29820.

The previous prime is 90731. The next prime is 90749. The reversal of 90738 is 83709.

It is a happy number.

90738 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in only one way, i.e., 45369 + 45369 = 213^2 + 213^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=213.

It is not an unprimeable number, because it can be changed into a prime (90731) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1243 + ... + 1313.

2⁹⁰⁷³⁸ is an apocalyptic number.

90738 is an abundant number, since it is smaller than the sum of its proper divisors (108669).

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

90738 is a wasteful number, since it uses less digits than its factorization.

90738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 90738 is about 301.2274887855. The cubic root of 90738 is about 44.9362059015.

It can be divided in two parts, 90 and 738, that added together give a palindrome (828).

The spelling of 90738 in words is "ninety thousand, seven hundred thirty-eight".