35790 has 16 divisors (see below), whose sum is σ = 85968. Its totient is φ = 9536.

The previous prime is 35771. The next prime is 35797. The reversal of 35790 is 9753.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a plaindrome in base 16.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 35790.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35797) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 567 + ... + 626.

It is an arithmetic number, because the mean of its divisors is an integer number (5373).

2³⁵⁷⁹⁰ is an apocalyptic number.

35790 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

35790 is an abundant number, since it is smaller than the sum of its proper divisors (50178).

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 (42984).

35790 is a wasteful number, since it uses less digits than its factorization.

35790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203.

The product of its (nonzero) digits is 945, while the sum is 24.

The square root of 35790 is about 189.1824516175. The cubic root of 35790 is about 32.9549431005.

The spelling of 35790 in words is "thirty-five thousand, seven hundred ninety".