10974 has 16 divisors (see below), whose sum is σ = 23040. Its totient is φ = 3480.

The previous prime is 10973. The next prime is 10979. The reversal of 10974 is 47901.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 10974.

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 10974.

It is not an unprimeable number, because it can be changed into a prime (10973) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157 + ... + 215.

It is an arithmetic number, because the mean of its divisors is an integer number (1440).

2¹⁰⁹⁷⁴ is an apocalyptic number.

10974 is an abundant number, since it is smaller than the sum of its proper divisors (12066).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11520).

10974 is a wasteful number, since it uses less digits than its factorization.

10974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95.

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 10974 is about 104.7568613505. The cubic root of 10974 is about 22.2222648147. Note that the first 4 decimals are identical.

The spelling of 10974 in words is "ten thousand, nine hundred seventy-four".