164807007 has 16 divisors (see below), whose sum is σ = 231922560. Its totient is φ = 103812192.

The previous prime is 164806981. The next prime is 164807009. The reversal of 164807007 is 700708461.

It is not a de Polignac number, because 164807007 - 2⁸ = 164806751 is a prime.

It is a super-2 number, since 2×164807007² = 54322699112596098, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164807009) 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, 18988 + ... + 26270.

It is an arithmetic number, because the mean of its divisors is an integer number (14495160).

Almost surely, 2^164807007 is an apocalyptic number.

164807007 is a deficient number, since it is larger than the sum of its proper divisors (67115553).

164807007 is a wasteful number, since it uses less digits than its factorization.

164807007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7702.

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 164807007 is about 12837.7181383609. The cubic root of 164807007 is about 548.2667275172.

The spelling of 164807007 in words is "one hundred sixty-four million, eight hundred seven thousand, seven".