123632161 has 3 divisors (see below), whose sum is σ = 123643281. Its totient is φ = 123621042.

The previous prime is 123632149. The next prime is 123632209. The reversal of 123632161 is 161236321.

The square root of 123632161 is 11119.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 161236321 = 59 ⋅2732819.

It is not a de Polignac number, because 123632161 - 2¹⁷ = 123501089 is a prime.

It is a super-2 number, since 2×123632161² = 30569822467059842, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123632101) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 5560 + ... + 16678.

It is an arithmetic number, because the mean of its divisors is an integer number (41214427).

Almost surely, 2^123632161 is an apocalyptic number.

123632161 is the 11119-th square number.

123632161 is the 5560-th centered octagonal number.

It is an amenable number.

123632161 is a deficient number, since it is larger than the sum of its proper divisors (11120).

123632161 is an frugal number, since it uses more digits than its factorization.

123632161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22238 (or 11119 counting only the distinct ones).

The product of its digits is 1296, while the sum is 25.

The cubic root of 123632161 is about 498.1695215416.

Multiplying 123632161 by its sum of digits (25), we get a square (3090804025 = 55595²).

Multiplying 123632161 by its product of digits (1296), we get a square (160227280656 = 400284²).

Adding to 123632161 its reverse (161236321), we get a palindrome (284868482).

The spelling of 123632161 in words is "one hundred twenty-three million, six hundred thirty-two thousand, one hundred sixty-one".