164457007 has 16 divisors (see below), whose sum is σ = 194705280. Its totient is φ = 136936800.

The previous prime is 164456939. The next prime is 164457023. The reversal of 164457007 is 700754461.

It is a happy number.

It is not a de Polignac number, because 164457007 - 2¹¹ = 164454959 is a prime.

It is a super-2 number, since 2×164457007² = 54092214302796098, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164457047) 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, 14344 + ... + 23122.

It is an arithmetic number, because the mean of its divisors is an integer number (12169080).

Almost surely, 2^164457007 is an apocalyptic number.

164457007 is a deficient number, since it is larger than the sum of its proper divisors (30248273).

164457007 is a wasteful number, since it uses less digits than its factorization.

164457007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8934.

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 164457007 is about 12824.0791872165. The cubic root of 164457007 is about 547.8783351390.

The spelling of 164457007 in words is "one hundred sixty-four million, four hundred fifty-seven thousand, seven".