166753332 has 36 divisors (see below), whose sum is σ = 422980740. Its totient is φ = 55391232.

The previous prime is 166753331. The next prime is 166753333. The reversal of 166753332 is 233357661.

It is an interprime number because it is at equal distance from previous prime (166753331) and next prime (166753333).

It can be written as a sum of positive squares in 2 ways, for example, as 79816356 + 86936976 = 8934^2 + 9324^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166753331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2644 + ... + 18452.

It is an arithmetic number, because the mean of its divisors is an integer number (11749465).

Almost surely, 2^166753332 is an apocalyptic number.

166753332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

166753332 is an abundant number, since it is smaller than the sum of its proper divisors (256227408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

166753332 is a wasteful number, since it uses less digits than its factorization.

166753332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16112 (or 16107 counting only the distinct ones).

The product of its digits is 68040, while the sum is 36.

The square root of 166753332 is about 12913.3005850557. The cubic root of 166753332 is about 550.4165791622.

The spelling of 166753332 in words is "one hundred sixty-six million, seven hundred fifty-three thousand, three hundred thirty-two".