35750 has 32 divisors (see below), whose sum is σ = 78624. Its totient is φ = 12000.

The previous prime is 35747. The next prime is 35753. The reversal of 35750 is 5753.

35750 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (35747) and next prime (35753).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35753) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2744 + ... + 2756.

It is an arithmetic number, because the mean of its divisors is an integer number (2457).

2³⁵⁷⁵⁰ is an apocalyptic number.

35750 is an abundant number, since it is smaller than the sum of its proper divisors (42874).

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 (39312).

35750 is a wasteful number, since it uses less digits than its factorization.

35750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 525, while the sum is 20.

The square root of 35750 is about 189.0767040119. The cubic root of 35750 is about 32.9426613726.

The spelling of 35750 in words is "thirty-five thousand, seven hundred fifty".