164400505 has 8 divisors (see below), whose sum is σ = 197458632. Its totient is φ = 131401728.

The previous prime is 164400499. The next prime is 164400539. The reversal of 164400505 is 505004461.

It can be written as a sum of positive squares in 4 ways, for example, as 65755881 + 98644624 = 8109^2 + 9932^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 164400505 - 2³ = 164400497 is a prime.

It is a super-3 number, since 3×164400505³ (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 164400505.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8494 + ... + 20023.

It is an arithmetic number, because the mean of its divisors is an integer number (24682329).

Almost surely, 2^164400505 is an apocalyptic number.

It is an amenable number.

164400505 is a deficient number, since it is larger than the sum of its proper divisors (33058127).

164400505 is a wasteful number, since it uses less digits than its factorization.

164400505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29675.

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 164400505 is about 12821.8760327809. The cubic root of 164400505 is about 547.8155836473.

Adding to 164400505 its reverse (505004461), we get a palindrome (669404966).

The spelling of 164400505 in words is "one hundred sixty-four million, four hundred thousand, five hundred five".