34524 has 36 divisors (see below), whose sum is σ = 100464. Its totient is φ = 9792.

The previous prime is 34519. The next prime is 34537. The reversal of 34524 is 42543.

34524 = T₃₅ + T₃₆ + ... + T₆₂.

It is a happy number.

34524 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 34497 and 34506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184 + ... + 320.

2³⁴⁵²⁴ 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 34524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50232).

34524 is an abundant number, since it is smaller than the sum of its proper divisors (65940).

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

34524 is a wasteful number, since it uses less digits than its factorization.

34524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 149 counting only the distinct ones).

The product of its digits is 480, while the sum is 18.

The square root of 34524 is about 185.8063508064. The cubic root of 34524 is about 32.5616973964.

The spelling of 34524 in words is "thirty-four thousand, five hundred twenty-four".