67157 has 2 divisors, whose sum is σ = 67158. Its totient is φ = 67156.

The previous prime is 67153. The next prime is 67169. The reversal of 67157 is 75176.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 39601 + 27556 = 199^2 + 166^2 .

It is a cyclic number.

It is not a de Polignac number, because 67157 - 2² = 67153 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (67153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33578 + 33579.

It is an arithmetic number, because the mean of its divisors is an integer number (33579).

2⁶⁷¹⁵⁷ is an apocalyptic number.

It is an amenable number.

67157 is a deficient number, since it is larger than the sum of its proper divisors (1).

67157 is an equidigital number, since it uses as much as digits as its factorization.

67157 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1470, while the sum is 26.

The square root of 67157 is about 259.1466766138. The cubic root of 67157 is about 40.6471807867.

The spelling of 67157 in words is "sixty-seven thousand, one hundred fifty-seven".