164767953 has 16 divisors (see below), whose sum is σ = 251770880. Its totient is φ = 93892176.

The previous prime is 164767951. The next prime is 164767957. The reversal of 164767953 is 359767461.

It is a happy number.

It is not a de Polignac number, because 164767953 - 2¹ = 164767951 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164767951) 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, 2983 + ... + 18396.

It is an arithmetic number, because the mean of its divisors is an integer number (15735680).

Almost surely, 2^164767953 is an apocalyptic number.

It is an amenable number.

164767953 is a deficient number, since it is larger than the sum of its proper divisors (87002927).

164767953 is a wasteful number, since it uses less digits than its factorization.

164767953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21756.

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

The square root of 164767953 is about 12836.1969835306. The cubic root of 164767953 is about 548.2234168581.

The spelling of 164767953 in words is "one hundred sixty-four million, seven hundred sixty-seven thousand, nine hundred fifty-three".