157209 has 16 divisors (see below), whose sum is σ = 235200. Its totient is φ = 92736.

The previous prime is 157207. The next prime is 157211. The reversal of 157209 is 902751.

It is an interprime number because it is at equal distance from previous prime (157207) and next prime (157211).

It is not a de Polignac number, because 157209 - 2¹ = 157207 is a prime.

157209 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (157207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1062 + ... + 1200.

It is an arithmetic number, because the mean of its divisors is an integer number (14700).

2¹⁵⁷²⁰⁹ is an apocalyptic number.

It is an amenable number.

157209 is a deficient number, since it is larger than the sum of its proper divisors (77991).

157209 is a wasteful number, since it uses less digits than its factorization.

157209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184.

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 157209 is about 396.4959016182. The cubic root of 157209 is about 53.9708347309.

The spelling of 157209 in words is "one hundred fifty-seven thousand, two hundred nine".