164956005 has 24 divisors (see below), whose sum is σ = 300973920. Its totient is φ = 83345760.

The previous prime is 164956003. The next prime is 164956013. The reversal of 164956005 is 500659461.

164956005 is a `hidden beast` number, since 1 + 6 + 49 + 5 + 600 + 5 = 666.

164956005 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 164956005 - 2¹ = 164956003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164956003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95611 + ... + 97320.

It is an arithmetic number, because the mean of its divisors is an integer number (12540580).

Almost surely, 2^164956005 is an apocalyptic number.

164956005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164956005 is a deficient number, since it is larger than the sum of its proper divisors (136017915).

164956005 is a wasteful number, since it uses less digits than its factorization.

164956005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192961 (or 192958 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 164956005 is about 12843.5199614436. The cubic root of 164956005 is about 548.4319026141.

It can be divided in two parts, 16495 and 6005, that added together give a square (22500 = 150²).

The spelling of 164956005 in words is "one hundred sixty-four million, nine hundred fifty-six thousand, five".