4000157 has 8 divisors (see below), whose sum is σ = 4590336. Its totient is φ = 3414672.

The previous prime is 4000153. The next prime is 4000159. The reversal of 4000157 is 7510004.

It is a happy number.

4000157 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4000157 - 2² = 4000153 is a prime.

It is a Duffinian number.

4000157 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 908 + ... + 2970.

It is an arithmetic number, because the mean of its divisors is an integer number (573792).

Almost surely, 2^4000157 is an apocalyptic number.

It is an amenable number.

4000157 is a deficient number, since it is larger than the sum of its proper divisors (590179).

4000157 is a wasteful number, since it uses less digits than its factorization.

4000157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2347.

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

The square root of 4000157 is about 2000.0392496149. The cubic root of 4000157 is about 158.7421820194.

The spelling of 4000157 in words is "four million, one hundred fifty-seven", and thus it is an aban number.