165350007 has 48 divisors (see below), whose sum is σ = 265513248. Its totient is φ = 98703360.

The previous prime is 165349991. The next prime is 165350023. The reversal of 165350007 is 700053561.

165350007 is a `hidden beast` number, since 1 + 653 + 5 + 0 + 0 + 0 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (165349991) and next prime (165350023).

It is not a de Polignac number, because 165350007 - 2⁴ = 165349991 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165350047) 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, 269433 + ... + 270045.

It is an arithmetic number, because the mean of its divisors is an integer number (5531526).

Almost surely, 2^165350007 is an apocalyptic number.

165350007 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

165350007 is a deficient number, since it is larger than the sum of its proper divisors (100163241).

165350007 is a wasteful number, since it uses less digits than its factorization.

165350007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 165350007 is about 12858.8493653204. The cubic root of 165350007 is about 548.8682037037.

The spelling of 165350007 in words is "one hundred sixty-five million, three hundred fifty thousand, seven".