157967 has 4 divisors (see below), whose sum is σ = 161376. Its totient is φ = 154560.

The previous prime is 157951. The next prime is 157991. The reversal of 157967 is 769751.

157967 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 157967 - 2⁴ = 157951 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157907) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1634 + ... + 1727.

It is an arithmetic number, because the mean of its divisors is an integer number (40344).

2¹⁵⁷⁹⁶⁷ is an apocalyptic number.

157967 is a deficient number, since it is larger than the sum of its proper divisors (3409).

157967 is an equidigital number, since it uses as much as digits as its factorization.

157967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3408.

The product of its digits is 13230, while the sum is 35.

The square root of 157967 is about 397.4506258644. The cubic root of 157967 is about 54.0574377409.

The spelling of 157967 in words is "one hundred fifty-seven thousand, nine hundred sixty-seven".