157641 has 16 divisors (see below), whose sum is σ = 243648. Its totient is φ = 89600.

The previous prime is 157639. The next prime is 157649. The reversal of 157641 is 146751.

157641 is a nontrivial binomial coefficient, being equal to C(562, 2).

It is a 3-Lehmer number, since φ(157641) divides (157641-1)³.

It is a cyclic number.

It is not a de Polignac number, because 157641 - 2¹ = 157639 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (157649) 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, 421 + ... + 701.

It is an arithmetic number, because the mean of its divisors is an integer number (15228).

It is a Poulet number, since it divides 2¹⁵⁷⁶⁴⁰-1.

2¹⁵⁷⁶⁴¹ is an apocalyptic number.

157641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

157641 is the 561-st triangular number and also the 281-st hexagonal number.

It is an amenable number.

157641 is a deficient number, since it is larger than the sum of its proper divisors (86007).

157641 is a wasteful number, since it uses less digits than its factorization.

157641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312.

The product of its digits is 840, while the sum is 24.

The square root of 157641 is about 397.0403002215. The cubic root of 157641 is about 54.0202256197.

The spelling of 157641 in words is "one hundred fifty-seven thousand, six hundred forty-one".