157693 has 4 divisors (see below), whose sum is σ = 159328. Its totient is φ = 156060.

The previous prime is 157679. The next prime is 157721. The reversal of 157693 is 396751.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 396751 = 37 ⋅10723.

It is a cyclic number.

It is not a de Polignac number, because 157693 - 2⁹ = 157181 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 12.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 663 + ... + 868.

It is an arithmetic number, because the mean of its divisors is an integer number (39832).

2¹⁵⁷⁶⁹³ is an apocalyptic number.

It is an amenable number.

157693 is a deficient number, since it is larger than the sum of its proper divisors (1635).

157693 is a wasteful number, since it uses less digits than its factorization.

157693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634.

The product of its digits is 5670, while the sum is 31.

The square root of 157693 is about 397.1057793586. The cubic root of 157693 is about 54.0261647323.

It can be divided in two parts, 157 and 693, that multiplied together give a palindrome (108801).

The spelling of 157693 in words is "one hundred fifty-seven thousand, six hundred ninety-three".