157993 has 8 divisors (see below), whose sum is σ = 176256. Its totient is φ = 140400.

The previous prime is 157991. The next prime is 157999. The reversal of 157993 is 399751.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 157993 - 2¹ = 157991 is a prime.

It is a super-3 number, since 3×157993³ = 11831363337676971, which contains 333 as substring.

It is a Duffinian number.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (157991) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 448 + ... + 718.

It is an arithmetic number, because the mean of its divisors is an integer number (22032).

2¹⁵⁷⁹⁹³ is an apocalyptic number.

It is an amenable number.

157993 is a deficient number, since it is larger than the sum of its proper divisors (18263).

157993 is a wasteful number, since it uses less digits than its factorization.

157993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335.

The product of its digits is 8505, while the sum is 34.

The square root of 157993 is about 397.4833329839. The cubic root of 157993 is about 54.0604033735.

It can be divided in two parts, 15 and 7993, that added together give a palindrome (8008).

The spelling of 157993 in words is "one hundred fifty-seven thousand, nine hundred ninety-three".