157005 has 16 divisors (see below), whose sum is σ = 279360. Its totient is φ = 83664.

The previous prime is 156979. The next prime is 157007. The reversal of 157005 is 500751.

It is a happy number.

157005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 157005 - 2⁶ = 156941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157007) 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, 447 + ... + 716.

It is an arithmetic number, because the mean of its divisors is an integer number (17460).

2¹⁵⁷⁰⁰⁵ is an apocalyptic number.

157005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

157005 is a deficient number, since it is larger than the sum of its proper divisors (122355).

157005 is a wasteful number, since it uses less digits than its factorization.

157005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 18.

The square root of 157005 is about 396.2385645038. The cubic root of 157005 is about 53.9474797998.

Adding to 157005 its reverse (500751), we get a palindrome (657756).

The spelling of 157005 in words is "one hundred fifty-seven thousand, five".