35952 has 40 divisors (see below), whose sum is σ = 107136. Its totient is φ = 10176.

The previous prime is 35951. The next prime is 35963. The reversal of 35952 is 25953.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35951) 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, 283 + ... + 389.

2³⁵⁹⁵² 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 35952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53568).

35952 is an abundant number, since it is smaller than the sum of its proper divisors (71184).

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

35952 is a wasteful number, since it uses less digits than its factorization.

35952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 119 counting only the distinct ones).

The product of its digits is 1350, while the sum is 24.

The square root of 35952 is about 189.6101263119. The cubic root of 35952 is about 33.0045907296.

Subtracting from 35952 its reverse (25953), we obtain a palindrome (9999).

The spelling of 35952 in words is "thirty-five thousand, nine hundred fifty-two".