4157000 has 32 divisors (see below), whose sum is σ = 9729720. Its totient is φ = 1662400.

The previous prime is 4156981. The next prime is 4157011. The reversal of 4157000 is 7514.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1136356 + 3020644 = 1066^2 + 1738^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4157000.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1079 + ... + 3078.

Almost surely, 2^4157000 is an apocalyptic number.

4157000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4157000 is an abundant number, since it is smaller than the sum of its proper divisors (5572720).

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

4157000 is a wasteful number, since it uses less digits than its factorization.

4157000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4178 (or 4164 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 4157000 is about 2038.8722372920. The cubic root of 4157000 is about 160.7903602218.

The spelling of 4157000 in words is "four million, one hundred fifty-seven thousand".