35748 has 24 divisors (see below), whose sum is σ = 92960. Its totient is φ = 11880.

The previous prime is 35747. The next prime is 35753. The reversal of 35748 is 84753.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (3360) is a multiple of the sum of its prime divisors (336).

It is a plaindrome in base 13.

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (35747) 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 7 ways as a sum of consecutive naturals, for example, 58 + ... + 273.

2³⁵⁷⁴⁸ is an apocalyptic number.

It is an amenable number.

35748 is an abundant number, since it is smaller than the sum of its proper divisors (57212).

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 (46480).

35748 is a wasteful number, since it uses less digits than its factorization.

35748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 336 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 35748 is about 189.0714150791. The cubic root of 35748 is about 32.9420470458.

Subtracting from 35748 its sum of digits (27), we obtain a square (35721 = 189²).

The spelling of 35748 in words is "thirty-five thousand, seven hundred forty-eight".