4000357 has 2 divisors, whose sum is σ = 4000358. Its totient is φ = 4000356.

The previous prime is 4000343. The next prime is 4000361. The reversal of 4000357 is 7530004.

4000357 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3996001 + 4356 = 1999^2 + 66^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4000357 is a prime.

It is a super-2 number, since 2×4000357² = 32005712254898, which contains 22 as substring.

4000357 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4000957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2000178 + 2000179.

It is an arithmetic number, because the mean of its divisors is an integer number (2000179).

Almost surely, 2^4000357 is an apocalyptic number.

It is an amenable number.

4000357 is a deficient number, since it is larger than the sum of its proper divisors (1).

4000357 is an equidigital number, since it uses as much as digits as its factorization.

4000357 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 4000357 is about 2000.0892480087. The cubic root of 4000357 is about 158.7448275745.

The spelling of 4000357 in words is "four million, three hundred fifty-seven", and thus it is an aban number.