164365433 has 16 divisors (see below), whose sum is σ = 174864144. Its totient is φ = 154275840.

The previous prime is 164365427. The next prime is 164365457. The reversal of 164365433 is 334563461.

It can be written as a sum of positive squares in 8 ways, for example, as 21132409 + 143233024 = 4597^2 + 11968^2 .

It is a cyclic number.

It is not a de Polignac number, because 164365433 - 2²² = 160171129 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 164365393 and 164365402.

It is not an unprimeable number, because it can be changed into a prime (164365403) 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, 146591 + ... + 147707.

It is an arithmetic number, because the mean of its divisors is an integer number (10929009).

Almost surely, 2^164365433 is an apocalyptic number.

It is an amenable number.

164365433 is a deficient number, since it is larger than the sum of its proper divisors (10498711).

164365433 is a wasteful number, since it uses less digits than its factorization.

164365433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292.

The product of its digits is 77760, while the sum is 35.

The square root of 164365433 is about 12820.5082972556. The cubic root of 164365433 is about 547.7766252216.

It can be divided in two parts, 1643 and 65433, that added together give a palindrome (67076).

The spelling of 164365433 in words is "one hundred sixty-four million, three hundred sixty-five thousand, four hundred thirty-three".