34952 has 16 divisors (see below), whose sum is σ = 69660. Its totient is φ = 16384.

The previous prime is 34949. The next prime is 34961. The reversal of 34952 is 25943.

34952 is nontrivially palindromic in base 16.

It can be written as a sum of positive squares in 2 ways, for example, as 27556 + 7396 = 166^2 + 86^2 .

It is an Ulam number.

34952 is an undulating number in base 4.

34952 is a nontrivial repdigit in base 16.

It is a plaindrome in base 16.

It is a nialpdrome in base 15 and base 16.

It is a zygodrome in base 16.

It is an unprimeable number.

In principle, a polygon with 34952 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8 + ... + 264.

2³⁴⁹⁵² is an apocalyptic number.

It is an amenable number.

34952 is a deficient number, since it is larger than the sum of its proper divisors (34708).

34952 is a wasteful number, since it uses less digits than its factorization.

34952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 276 counting only the distinct ones).

The product of its digits is 1080, while the sum is 23.

The square root of 34952 is about 186.9545399288. The cubic root of 34952 is about 32.6957028148.

Subtracting from 34952 its reverse (25943), we obtain a palindrome (9009).

The spelling of 34952 in words is "thirty-four thousand, nine hundred fifty-two".