157307 has 2 divisors, whose sum is σ = 157308. Its totient is φ = 157306.

The previous prime is 157303. The next prime is 157321. The reversal of 157307 is 703751.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 157307 - 2² = 157303 is a prime.

It is a Chen prime.

It is equal to p₁₄₄₆₈ and since 157307 and 14468 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 157307.

It is not a weakly prime, because it can be changed into another prime (157303) 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, 78653 + 78654.

It is an arithmetic number, because the mean of its divisors is an integer number (78654).

2¹⁵⁷³⁰⁷ is an apocalyptic number.

157307 is a deficient number, since it is larger than the sum of its proper divisors (1).

157307 is an equidigital number, since it uses as much as digits as its factorization.

157307 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 735, while the sum is 23.

The square root of 157307 is about 396.6194649787. The cubic root of 157307 is about 53.9820470727.

It can be divided in two parts, 157 and 307, that added together give a palindrome (464).

The spelling of 157307 in words is "one hundred fifty-seven thousand, three hundred seven".