157007 has 2 divisors, whose sum is σ = 157008. Its totient is φ = 157006.

The previous prime is 156979. The next prime is 157013. The reversal of 157007 is 700751.

It is a strong prime.

It is an emirp because it is prime and its reverse (700751) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 157007 - 2⁶ = 156943 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 157007.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 157007.

It is not a weakly prime, because it can be changed into another prime (157037) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 78503 + 78504.

It is an arithmetic number, because the mean of its divisors is an integer number (78504).

2¹⁵⁷⁰⁰⁷ is an apocalyptic number.

157007 is a deficient number, since it is larger than the sum of its proper divisors (1).

157007 is an equidigital number, since it uses as much as digits as its factorization.

157007 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 245, while the sum is 20.

The square root of 157007 is about 396.2410882279. The cubic root of 157007 is about 53.9477088679.

Adding to 157007 its reverse (700751), we get a palindrome (857758).

The spelling of 157007 in words is "one hundred fifty-seven thousand, seven".