14929164 has 48 divisors (see below), whose sum is σ = 39026400. Its totient is φ = 4935168.

The previous prime is 14929163. The next prime is 14929169. The reversal of 14929164 is 46192941.

It is a happy number.

14929164 is a `hidden beast` number, since 1 + 492 + 9 + 164 = 666.

14929164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (14929163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14292 + ... + 15300.

It is an arithmetic number, because the mean of its divisors is an integer number (813050).

Almost surely, 2^14929164 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 14929164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19513200).

14929164 is an abundant number, since it is smaller than the sum of its proper divisors (24097236).

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

14929164 is a wasteful number, since it uses less digits than its factorization.

14929164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1151 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 14929164 is about 3863.8276359072. The cubic root of 14929164 is about 246.2323800598.

The spelling of 14929164 in words is "fourteen million, nine hundred twenty-nine thousand, one hundred sixty-four".