164401429 has 2 divisors, whose sum is σ = 164401430. Its totient is φ = 164401428.

The previous prime is 164401403. The next prime is 164401459. The reversal of 164401429 is 924104461.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95062500 + 69338929 = 9750^2 + 8327^2 .

It is a cyclic number.

It is not a de Polignac number, because 164401429 - 2⁷ = 164401301 is a prime.

It is a super-3 number, since 3×164401429³ (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 164401429.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164401459) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82200714 + 82200715.

It is an arithmetic number, because the mean of its divisors is an integer number (82200715).

Almost surely, 2^164401429 is an apocalyptic number.

It is an amenable number.

164401429 is a deficient number, since it is larger than the sum of its proper divisors (1).

164401429 is an equidigital number, since it uses as much as digits as its factorization.

164401429 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 164401429 is about 12821.9120648989. The cubic root of 164401429 is about 547.8166099634.

The spelling of 164401429 in words is "one hundred sixty-four million, four hundred one thousand, four hundred twenty-nine".