164166431 has 16 divisors (see below), whose sum is σ = 194036640. Its totient is φ = 137741760.

The previous prime is 164166427. The next prime is 164166437. The reversal of 164166431 is 134661461.

It is not a de Polignac number, because 164166431 - 2² = 164166427 is a prime.

It is a super-2 number, since 2×164166431² = 53901234134555522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164166437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20771 + ... + 27563.

It is an arithmetic number, because the mean of its divisors is an integer number (12127290).

Almost surely, 2^164166431 is an apocalyptic number.

164166431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

164166431 is a deficient number, since it is larger than the sum of its proper divisors (29870209).

164166431 is an equidigital number, since it uses as much as digits as its factorization.

164166431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6843 (or 6817 counting only the distinct ones).

The product of its digits is 10368, while the sum is 32.

The square root of 164166431 is about 12812.7448659528. The cubic root of 164166431 is about 547.5554662571. Note that the first 3 decimals are identical.

The spelling of 164166431 in words is "one hundred sixty-four million, one hundred sixty-six thousand, four hundred thirty-one".