157716 has 36 divisors (see below), whose sum is σ = 430612. Its totient is φ = 48384.

The previous prime is 157679. The next prime is 157721. The reversal of 157716 is 617751.

It can be written as a sum of positive squares in 2 ways, for example, as 32400 + 125316 = 180^2 + 354^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an Ulam 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 157716.

It is a congruent number.

It is an unprimeable number.

157716 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 300 + ... + 636.

2¹⁵⁷⁷¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215306).

157716 is an abundant number, since it is smaller than the sum of its proper divisors (272896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

157716 is a wasteful number, since it uses less digits than its factorization.

157716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 355 counting only the distinct ones).

The product of its digits is 1470, while the sum is 27.

The square root of 157716 is about 397.1347378409. The cubic root of 157716 is about 54.0287912310.

The spelling of 157716 in words is "one hundred fifty-seven thousand, seven hundred sixteen".