34974 has 24 divisors (see below), whose sum is σ = 79560. Its totient is φ = 11088.

The previous prime is 34963. The next prime is 34981. The reversal of 34974 is 47943.

34974 = 92² + 93² + ... + 95².

It is an Ulam number.

It is a plaindrome in base 16.

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 34974.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 489 + ... + 555.

It is an arithmetic number, because the mean of its divisors is an integer number (3315).

2³⁴⁹⁷⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39780).

34974 is an abundant number, since it is smaller than the sum of its proper divisors (44586).

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

34974 is a wasteful number, since it uses less digits than its factorization.

34974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 101 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 34974 is about 187.0133685061. The cubic root of 34974 is about 32.7025613122.

The spelling of 34974 in words is "thirty-four thousand, nine hundred seventy-four".