34792 has 8 divisors (see below), whose sum is σ = 65250. Its totient is φ = 17392.

The previous prime is 34781. The next prime is 34807. The reversal of 34792 is 29743.

34792 is nontrivially palindromic in base 7.

34792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 34596 + 196 = 186^2 + 14^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a nialpdrome in base 14.

It is an unprimeable number.

34792 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2167 + ... + 2182.

2³⁴⁷⁹² is an apocalyptic number.

It is an amenable number.

34792 is a deficient number, since it is larger than the sum of its proper divisors (30458).

34792 is a wasteful number, since it uses less digits than its factorization.

34792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4355 (or 4351 counting only the distinct ones).

The product of its digits is 1512, while the sum is 25.

The square root of 34792 is about 186.5261375786. The cubic root of 34792 is about 32.6457360482.

It can be divided in two parts, 3479 and 2, that added together give a square (3481 = 59²).

The spelling of 34792 in words is "thirty-four thousand, seven hundred ninety-two".