166256541 has 24 divisors (see below), whose sum is σ = 264164160. Its totient is φ = 100754280.

The previous prime is 166256491. The next prime is 166256611. The reversal of 166256541 is 145652661.

166256541 is a `hidden beast` number, since 1 + 6 + 62 + 56 + 541 = 666.

It is not a de Polignac number, because 166256541 - 2²⁵ = 132702109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 166256496 and 166256505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166257541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5040 + ... + 18918.

It is an arithmetic number, because the mean of its divisors is an integer number (11006840).

Almost surely, 2^166256541 is an apocalyptic number.

166256541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

166256541 is a deficient number, since it is larger than the sum of its proper divisors (97907619).

166256541 is a wasteful number, since it uses less digits than its factorization.

166256541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13918 (or 13893 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 166256541 is about 12894.0506048332. The cubic root of 166256541 is about 549.8694356745.

The spelling of 166256541 in words is "one hundred sixty-six million, two hundred fifty-six thousand, five hundred forty-one".