133085173 has 16 divisors (see below), whose sum is σ = 146830320. Its totient is φ = 119867904.

The previous prime is 133085149. The next prime is 133085191. The reversal of 133085173 is 371580331.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5349969 + 127735204 = 2313^2 + 11302^2 .

It is not a de Polignac number, because 133085173 - 2¹³ = 133076981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133080173) 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, 160123 + ... + 160951.

It is an arithmetic number, because the mean of its divisors is an integer number (9176895).

Almost surely, 2^133085173 is an apocalyptic number.

133085173 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

133085173 is a deficient number, since it is larger than the sum of its proper divisors (13745147).

133085173 is a wasteful number, since it uses less digits than its factorization.

133085173 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128.

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 133085173 is about 11536.2547215290. The cubic root of 133085173 is about 510.5558120849. Note that the first 3 decimals are identical.

It can be divided in two parts, 13308 and 5173, that added together give a palindrome (18481).

The spelling of 133085173 in words is "one hundred thirty-three million, eighty-five thousand, one hundred seventy-three".