34753 has 4 divisors (see below), whose sum is σ = 36288. Its totient is φ = 33220.

The previous prime is 34747. The next prime is 34757. The reversal of 34753 is 35743.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 35743 = 31 ⋅1153.

It is a cyclic number.

It is not a de Polignac number, because 34753 - 2⁵ = 34721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 733 + ... + 778.

It is an arithmetic number, because the mean of its divisors is an integer number (9072).

2³⁴⁷⁵³ is an apocalyptic number.

It is an amenable number.

34753 is a deficient number, since it is larger than the sum of its proper divisors (1535).

34753 is a wasteful number, since it uses less digits than its factorization.

34753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534.

The product of its digits is 1260, while the sum is 22.

The square root of 34753 is about 186.4215652761. The cubic root of 34753 is about 32.6335334372.

Subtracting 34753 from its reverse (35743), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 347 and 53, that added together give a square (400 = 20²).

The spelling of 34753 in words is "thirty-four thousand, seven hundred fifty-three".