164479905 has 48 divisors (see below), whose sum is σ = 297198720. Its totient is φ = 84076800.

The previous prime is 164479901. The next prime is 164479907. The reversal of 164479905 is 509974461.

164479905 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 164479905 - 2² = 164479901 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (164479901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108100 + ... + 109610.

It is an arithmetic number, because the mean of its divisors is an integer number (6191640).

Almost surely, 2^164479905 is an apocalyptic number.

164479905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164479905 is a deficient number, since it is larger than the sum of its proper divisors (132718815).

164479905 is a wasteful number, since it uses less digits than its factorization.

164479905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1622 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 164479905 is about 12824.9719297938. The cubic root of 164479905 is about 547.9037617153.

The spelling of 164479905 in words is "one hundred sixty-four million, four hundred seventy-nine thousand, nine hundred five".