157667 has 2 divisors, whose sum is σ = 157668. Its totient is φ = 157666.

The previous prime is 157649. The next prime is 157669. The reversal of 157667 is 766751.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 157667 - 2⁸ = 157411 is a prime.

Together with 157669, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 7.

It is not a weakly prime, because it can be changed into another prime (157669) 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, 78833 + 78834.

It is an arithmetic number, because the mean of its divisors is an integer number (78834).

2¹⁵⁷⁶⁶⁷ is an apocalyptic number.

157667 is a deficient number, since it is larger than the sum of its proper divisors (1).

157667 is an equidigital number, since it uses as much as digits as its factorization.

157667 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8820, while the sum is 32.

The square root of 157667 is about 397.0730411398. The cubic root of 157667 is about 54.0231953392.

The spelling of 157667 in words is "one hundred fifty-seven thousand, six hundred sixty-seven".