164735967 has 32 divisors (see below), whose sum is σ = 259649280. Its totient is φ = 91768320.

The previous prime is 164735941. The next prime is 164735983. The reversal of 164735967 is 769537461.

It is a happy number.

It is not a de Polignac number, because 164735967 - 2⁷ = 164735839 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164730967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20709 + ... + 27537.

It is an arithmetic number, because the mean of its divisors is an integer number (8114040).

Almost surely, 2^164735967 is an apocalyptic number.

164735967 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

164735967 is a deficient number, since it is larger than the sum of its proper divisors (94913313).

164735967 is a wasteful number, since it uses less digits than its factorization.

164735967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6903.

The product of its digits is 952560, while the sum is 48.

The square root of 164735967 is about 12834.9509932839. The cubic root of 164735967 is about 548.1879394716.

The spelling of 164735967 in words is "one hundred sixty-four million, seven hundred thirty-five thousand, nine hundred sixty-seven".