162561 has 8 divisors (see below), whose sum is σ = 247744. Its totient is φ = 92880.

The previous prime is 162557. The next prime is 162563. The reversal of 162561 is 165261.

162561 = T₃₈ + T₃₉ + ... + T₁₀₀.

It is a happy number.

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

It is not a de Polignac number, because 162561 - 2² = 162557 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 7741 = 162561 / (1 + 6 + 2 + 5 + 6 + 1).

It is not an unprimeable number, because it can be changed into a prime (162563) 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, 3850 + ... + 3891.

It is an arithmetic number, because the mean of its divisors is an integer number (30968).

2¹⁶²⁵⁶¹ is an apocalyptic number.

It is an amenable number.

162561 is a deficient number, since it is larger than the sum of its proper divisors (85183).

162561 is an equidigital number, since it uses as much as digits as its factorization.

162561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7751.

The product of its digits is 360, while the sum is 21.

The square root of 162561 is about 403.1885415038. The cubic root of 162561 is about 54.5764715005.

The spelling of 162561 in words is "one hundred sixty-two thousand, five hundred sixty-one".