14970 has 16 divisors (see below), whose sum is σ = 36000. Its totient is φ = 3984.

The previous prime is 14969. The next prime is 14983. The reversal of 14970 is 7941.

14970 is an esthetic number in base 14, because in such base its adjacent digits differ by 1.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 14970.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220 + ... + 279.

It is an arithmetic number, because the mean of its divisors is an integer number (2250).

2¹⁴⁹⁷⁰ is an apocalyptic number.

14970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14970 is an abundant number, since it is smaller than the sum of its proper divisors (21030).

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 (18000).

14970 is a wasteful number, since it uses less digits than its factorization.

14970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509.

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

The square root of 14970 is about 122.3519513535. The cubic root of 14970 is about 24.6456683563.

The spelling of 14970 in words is "fourteen thousand, nine hundred seventy".