30738 has 16 divisors (see below), whose sum is σ = 63360. Its totient is φ = 9936.

The previous prime is 30727. The next prime is 30757. The reversal of 30738 is 83703.

30738 = T₂₂ + T₂₃ + ... + T₅₇.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 30738.

It is an unprimeable number.

30738 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 in 7 ways as a sum of consecutive naturals, for example, 228 + ... + 336.

It is an arithmetic number, because the mean of its divisors is an integer number (3960).

2³⁰⁷³⁸ is an apocalyptic number.

30738 is an abundant number, since it is smaller than the sum of its proper divisors (32622).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31680).

30738 is a wasteful number, since it uses less digits than its factorization.

30738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161.

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 30738 is about 175.3225598718. The cubic root of 30738 is about 31.3250569157.

It can be divided in two parts, 3073 and 8, that added together give a triangular number (3081 = T₇₈).

The spelling of 30738 in words is "thirty thousand, seven hundred thirty-eight".