164002007 has 8 divisors (see below), whose sum is σ = 176920800. Its totient is φ = 151126560.

The previous prime is 164002001. The next prime is 164002021. The reversal of 164002007 is 700200461.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-164002007 is a prime.

It is a super-3 number, since 3×164002007³ (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 164002007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164002001) 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, 2744 + ... + 18317.

It is an arithmetic number, because the mean of its divisors is an integer number (22115100).

Almost surely, 2^164002007 is an apocalyptic number.

164002007 is a deficient number, since it is larger than the sum of its proper divisors (12918793).

164002007 is a wasteful number, since it uses less digits than its factorization.

164002007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21673.

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 164002007 is about 12806.3268348110. The cubic root of 164002007 is about 547.3726003413.

Adding to 164002007 its reverse (700200461), we get a palindrome (864202468).

The spelling of 164002007 in words is "one hundred sixty-four million, two thousand, seven".