35670 has 32 divisors (see below), whose sum is σ = 90720. Its totient is φ = 8960.

The previous prime is 35617. The next prime is 35671. The reversal of 35670 is 7653.

35670 is nontrivially palindromic in base 14.

35670 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a plaindrome in base 11.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35671) 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, 850 + ... + 890.

It is an arithmetic number, because the mean of its divisors is an integer number (2835).

2³⁵⁶⁷⁰ is an apocalyptic number.

35670 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 35670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45360).

35670 is an abundant number, since it is smaller than the sum of its proper divisors (55050).

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

35670 is a wasteful number, since it uses less digits than its factorization.

35670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80.

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 35670 is about 188.8650311731. The cubic root of 35670 is about 32.9180704061.

The spelling of 35670 in words is "thirty-five thousand, six hundred seventy".