157907 has 2 divisors, whose sum is σ = 157908. Its totient is φ = 157906.

The previous prime is 157901. The next prime is 157931. The reversal of 157907 is 709751.

157907 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-157907 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 157907.

It is not a weakly prime, because it can be changed into another prime (157901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 78953 + 78954.

It is an arithmetic number, because the mean of its divisors is an integer number (78954).

2¹⁵⁷⁹⁰⁷ is an apocalyptic number.

157907 is a deficient number, since it is larger than the sum of its proper divisors (1).

157907 is an equidigital number, since it uses as much as digits as its factorization.

157907 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2205, while the sum is 29.

The square root of 157907 is about 397.3751376219. The cubic root of 157907 is about 54.0505927311.

The spelling of 157907 in words is "one hundred fifty-seven thousand, nine hundred seven".