166312377 has 96 divisors (see below), whose sum is σ = 334264320. Its totient is φ = 76930560.

The previous prime is 166312331. The next prime is 166312387. The reversal of 166312377 is 773213661.

166312377 is a `hidden beast` number, since 16 + 631 + 2 + 3 + 7 + 7 = 666.

It is not a de Polignac number, because 166312377 - 2⁶ = 166312313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (166312387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 223468 + ... + 224210.

It is an arithmetic number, because the mean of its divisors is an integer number (3481920).

Almost surely, 2^166312377 is an apocalyptic number.

166312377 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

166312377 is an abundant number, since it is smaller than the sum of its proper divisors (167951943).

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

166312377 is a wasteful number, since it uses less digits than its factorization.

166312377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 800 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 166312377 is about 12896.2156076889. The cubic root of 166312377 is about 549.9309852797.

The spelling of 166312377 in words is "one hundred sixty-six million, three hundred twelve thousand, three hundred seventy-seven".