35644 has 24 divisors (see below), whose sum is σ = 76160. Its totient is φ = 14256.

The previous prime is 35617. The next prime is 35671. The reversal of 35644 is 44653.

35644 = T₇₁ + T₇₂ + ... + T₈₂.

35644 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 (35617) and next prime (35671).

It is a nialpdrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 35644.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 499 + ... + 565.

2³⁵⁶⁴⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38080).

35644 is an abundant number, since it is smaller than the sum of its proper divisors (40516).

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

35644 is a wasteful number, since it uses less digits than its factorization.

35644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 95 counting only the distinct ones).

The product of its digits is 1440, while the sum is 22.

The square root of 35644 is about 188.7961864022. The cubic root of 35644 is about 32.9100704260.

Subtracting 35644 from its reverse (44653), we obtain a palindrome (9009).

It can be divided in two parts, 356 and 44, that added together give a square (400 = 20²).

The spelling of 35644 in words is "thirty-five thousand, six hundred forty-four".