166435801 has 27 divisors (see below), whose sum is σ = 206463519. Its totient is φ = 133757568.

The previous prime is 166435799. The next prime is 166435823. The reversal of 166435801 is 108534661.

It is a happy number.

The square root of 166435801 is 12901.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 74736025 + 91699776 = 8645^2 + 9576^2 .

It is not a de Polignac number, because 166435801 - 2¹ = 166435799 is a prime.

It is not an unprimeable number, because it can be changed into a prime (166435891) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1715785 + ... + 1715881.

It is an arithmetic number, because the mean of its divisors is an integer number (7646797).

Almost surely, 2^166435801 is an apocalyptic number.

166435801 is the 12901-st square number.

166435801 is the 6451-st centered octagonal number.

It is an amenable number.

166435801 is a deficient number, since it is larger than the sum of its proper divisors (40027718).

166435801 is an frugal number, since it uses more digits than its factorization.

166435801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The cubic root of 166435801 is about 550.0669901873.

The spelling of 166435801 in words is "one hundred sixty-six million, four hundred thirty-five thousand, eight hundred one".