157705 has 4 divisors (see below), whose sum is σ = 189252. Its totient is φ = 126160.

The previous prime is 157679. The next prime is 157721. The reversal of 157705 is 507751.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 507751 = 37 ⋅13723.

It can be written as a sum of positive squares in 2 ways, for example, as 19321 + 138384 = 139^2 + 372^2 .

It is not a de Polignac number, because 157705 - 2¹¹ = 155657 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 157705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15766 + ... + 15775.

It is an arithmetic number, because the mean of its divisors is an integer number (47313).

2¹⁵⁷⁷⁰⁵ is an apocalyptic number.

It is an amenable number.

157705 is a deficient number, since it is larger than the sum of its proper divisors (31547).

157705 is an equidigital number, since it uses as much as digits as its factorization.

157705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31546.

The product of its (nonzero) digits is 1225, while the sum is 25.

The square root of 157705 is about 397.1208883955. The cubic root of 157705 is about 54.0275351113.

It can be divided in two parts, 157 and 705, that multiplied together give a triangular number (110685 = T₄₇₀).

The spelling of 157705 in words is "one hundred fifty-seven thousand, seven hundred five".