33167330161 has 9 divisors (see below), whose sum is σ = 38583887499. Its totient is φ = 28428047424.

The previous prime is 33167330153. The next prime is 33167330179. The reversal of 33167330161 is 16103376133.

The square root of 33167330161 is 182119.

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., 25149202225 + 8018127936 = 158585^2 + 89544^2 .

It is not a de Polignac number, because 33167330161 - 2³ = 33167330153 is a prime.

It is a super-2 number, since 2×33167330161² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33167330101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1261825 + ... + 1287841.

It is an arithmetic number, because the mean of its divisors is an integer number (4287098611).

Almost surely, 2^33167330161 is an apocalyptic number.

33167330161 is the 182119-th square number.

33167330161 is the 91060-th centered octagonal number.

It is an amenable number.

33167330161 is a deficient number, since it is larger than the sum of its proper divisors (5416557338).

33167330161 is an frugal number, since it uses more digits than its factorization.

33167330161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52048 (or 26024 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 34.

The spelling of 33167330161 in words is "thirty-three billion, one hundred sixty-seven million, three hundred thirty thousand, one hundred sixty-one".